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The short answer is your current boyfriend (father 2) filed incorrectly.  Father 2 is not allowed to claim child 1 in your situation.  Father 2 needs to file an amended return.

 

Whoever gets the final decision to claim child 1 (mother or father 1) will have to file by mail, because the mistake by father 2 will block you from e-filing.  

 

But, other than needing to file by mail, and needing to file an amended return for father 2, there won't be any other problems with the IRS as long as you get things corrected by April 18.