Court Proceedings: Mom Wants to Take Baby Away

My question involves paternity law for the State of: Virginia

My question involves paternity law for the State of: Virginia.

Hello, I am an american citizen and her mom is a Filipino citizen. Our daughter was born in the philippines. while i was there in the phil. i signed the birth certificate and have been doing everything a father should be. while in the phil. i filed for her CRBA and passport, both of which were approved!.

My fiance also got her k-1 fiance visa and the three of us entered the USA October 12, 2016. now my fiance is bored and wants to go back to phil with our baby. i want to stop her from taking my baby.

i suspect my baby was sexually assaulted in the phil. as i was given hints by people, clues, and even the occasional smell of semen on her neck. but i have nothing to prove it.

My issues are:

Have i established legal parental rights in the usa by signing the philippine birth certificate?
How can i make my case strong if it goes to court?
If i am granted partial custody, will that stop her from boarding our bbay unto a flight back to the phil?

please help!!

thanks

Court Proceedings: Mom Wants to Take Baby Away