pretty messed up situation u are in there my friend.
this is what girls bring, problem.
i like ur idea of talking to this guy, her ex, in facebook; respectable decision!
since she shared her past with u, u probably know why/how they broke up.
So, her ex is in Nepal and u are in States, how do u think she is evaluating her future?  One thing for sure, no matter how much she says she hates her ex, first love is first love.  I am pretty sure she has some feelings.
Sh!t happens in young age, if u try to help them patch up, that will be one of the best/memorable thing u will have done in life.
Now, what about u, that will be a big sacrifice.  Its a long distance relation, u are not settled yet, who knows what future has stored for u.  It might not be a bad idea in ur part to let her go and focus on school, internship etc.
good luck my friend!