marriage valid if man lies about name?

i'd like to know if a nikah is valid after these 3 issues:

1. the man lies about his name to the girl before the nikah and at the time of doing it. She believes his real name to be A while it is actually Z.
2. right after the marriage, the girl stays back at her parents house and the man leaves for another country and she never hears from him and they have no physical or verbal contact for more than 3 yrs i.e. right after the performance of the nikah.
3.the man lies about the fact that he is married and poses himself as single in the nikah papers.
4. She does not even know the address to his house so she can send him a court notice

Is the nikah valid even after these issues and the girl cant remarry? Does this require a proper divorce?

I'd really be grateful if someone can talk to an imam and tell me what needs to be done about this...

jazak Allah