OK,
First:
I did answer the trinity you mentioned about Mary is one of the three listed in Quran. I told you NO she is not mentioned to be one of the trinity, I even put for you the verse where it says the trinity, Allah says:
5:73* Surely, disbelievers are those who said: " Allah is the thired of the three(inTrinity)." But there is no God but One God(Allah). And if they cease not from what they say, verily, a painful torment will befall the disbelievers among them.
then you quoted for me the verse where Allah will ask Jesus in the Day of Judgement about did he told the people: " Worship me and my mother as two gods besides Allah?" in 5:116, I told you this one here has nothing to do with verse I quoted above. to give you more proof....please read also
5:72* Surely, disbelievers are those who said:" Allah is the Messiah (Jesus) , son of Mary." But the Messiah (Jesus) siad: " O children of israel! Worship Allah, my Lord and your Lord." Verily, whosoever sets up partners in worship with Allah, then Allah has forbidden Paradise for him, and the fire will be his abode. And for the Zalimun ( polythersts and wrong-doers) there are no helpers.
In this verse I hope that you can see and understand that Jesus her is taken as Allah himself. But, the Quran never put Mary in this state, she is mentioned as god ( idol ) like I told you before, and surely Christians they take Jesus as God Almighty and he is in the Trinity, but Allah didn't tell us who are the three in the trinity only he mentioned Jesus as one and as God himself. I hope that this is clear for you.
Second:
As far as Ezra, YES Allah told us that the jews said: " Ezra is the son of Allah" I have been looking and searching in this one since you had posted it, besides what my friend told me about the ex Orthadox Jew. I founf an interesting story in a book by a very well known historian islamic scholar ( Ibin Katheer) he mentioned that the story of the man who Allah has mentioned him in: 2:259 was Ezra, he was passing by a town which had been tumbled over its roofs. He said: "Oh! How will Allah ever bring it to life after its death?" he was questioning the great ability of Allah out of faith not out of disbeleive, he was with his donkey and he was preparing some food for himself while he stoped for rest. So Allah caused him to die for 100 years, then raised him up (agian) Allah send to him an angel to ask him: "How long did you remain(dead)". Ezra said:" A day or a part of a day". He said: " Nay, you have remained (dead) for 100 years, look at you food and your drink, they show no change; and look at your donkey! (its bones were scatered around him) And thus We made you a sign for the people. Look at the boons, how We bring them toghether and clothe them with flesh". When this was clearly shown to him, he said, " I know (now) that Allah is Able to do all things." then in the story where ibin Katheer quoting from the israelites ( where Prophet Mohammad gave us permission to quote from them when it talks about people and places which has nothing to do of worship and weather it is false or not will have no effect or value on religion) Ezra went to his town, all the people that he knew were dead but 1 or 2 of his sons and an old woman who use to be his servant, she was blind and she was arround 120, he came to her and asked her about Ezra and she start to cray and said he left us 100 years ago and never came back, he told her his story then she told him to ask Allah to give her sight so she would see him and recognize him , he did then Allah gave her sight and she saw him the same age he left 100 year ago, she said by Allah you are Ezra, she went to the people and told his sons who were older than their father in looks, then after he died people start to veiw him as the son of God for that reason. now weather the story is true or fake, it dosen't make no defference for me. Allah said that the jews siad " Ezra is the son of Allah" I believe Allah 1000% and I don't believe the Jews. and if you don't believe this fact it is your business not mine.
You also mentioned that:
Major contradiction in the Qur'an:
Jesus was crucified
Jesus was not crucified
Moral dilemma found in the Qur'an:
Muslims cannot lie; Muslims can lie.
Based on this last one, why should anyone believe anything a Muslim posts?
The Quran states very clearly that Jesus wasn't crucified, he was raised with his body to heaven in state of sleeping ( Allah took him to heaven while he was sleeping)
3:55* And (remember) when Allah said: "O Jesus! I will take you in your sleep and raise you to Myself and clear you (of the forged statment that jesus is Allah's son) of those who disbekieve, and I will make those who follow you ( as a Prophet of the only One Allah) superior of those who disbelieve ( in the Oneness of Allah and His all Prophets and His Books ) till the Day of Resurrectin. Then you will return to Me and I will judge between you inthe matters in which you used to dispute."
3:59* Verily, the likeness of Jesus before Allah is the likeness of Adam. He created him from dust, then (He) said to him: "Be!"-and he was.
3:60* (This is ) the truth from your Lord, so be not of those who doubt.
3:61* Then whoever disputes with you concerning him(Jesus) after (all this) knowledge has come to you, (i.e. 'Jesus being a slave of Allah, and having no share in Divinity) say: ( O Mohammad ) " Come, let us call our sons and your sons, our women and your women, ourselves and yourselves- then we pray and invoke ( sincerety) the Curse of Allah upon those who lie." ..... I am willing to do this with you if you want.
At the begnning of 3:55....the frase " inni mutawaffika " a lot of Christians they brag about it that it means death from "waffa"...this is very wrong because we only understand the Quranic Arabic by the Quranic words not by so called Arabic linguestics...Allah says in his Book " Huwa Allathee yatawaffakum bllayel" it means He who puts you to sleep at night. So Allah took Jesus up to him while Jesus was sleeping as Allah told us and when Jesus will come down again to live and fight with the muslims against the unbelievers he will die a normal death, where Allah said: wa in min ahlil kitabi layu'minanna bihi qabla mautihi wa yaumal qiyamati yakunu a'layhim shahidan....the word mautihi ( his death ) it goes back to Jesus ( before the death of Jesus) so Jesus will die a normal death after he come down.
as you see the Quran never said: Jesus was crucified / jesus was not crucified this is a very selly and stupid trick we the Christian Arabs used to pull it on muslims but the truth is it is a very weak and false trick ( Play of words ) but in reality those who knows arabic well they know very well that is it fake and not true.
As far for Muslims can lie.....this is not true. BUT if you mean Shieis, then the answer is YES and it is a good dead to lie if you are shiei like I told you before.....but just for the sake of the dabate show me where it says muslims can lie in the Quran. But I will give a verse we use to pull on muslims also....same thing a play of words
16:106whoever disbelieved in Allah after his belief, except him who is forced thereto and whose heart is at rest with faith - but such as open their breasts to disbelief, - on them is wrath from allah, and theirs will be a great torment.
there was one of Prophet Mohammad's (SAAWS) companions at the time of the Mecca period where muslims been taken by the pagans of Quraysh and tortured, he was put to a great torture, they want him to declair kufur of Allah and his Prophet Mohammad, so he could not take it any more and he start to say what they want him to say and to praise their gods (hubal, lat, izzah) when he came back and saw the Prophet he told him that he had failed so Prophet Mohammad told him how do you find your heart he said full of love to you and Allah then this verse was revealed and he told him if they go back to what they did, say what you said.