Advise please: urgent

A girl marries a person in a temple. That person was undergoing proceedings of divorce from his 1st wife. Person doesnot gets the marriage registered then as his 1st wife was alive.  During pendency of the matter the couple are blessed with a child. Meanwhile husband was awarded decree of divorce from 1st wife.

1. In case the couple do not register the marriage, will the girl be his legally wedded wife ?
 No.

2. In case they opt for registration, can the girl sign any agreement to assure the person/husband that she will not file any 498a or DV post registration?

Marrying like this is illegal, other things also get you in the net.

3. In case husband does not regsiter the marriage, can still the girl file 498a & DV as a live-in partner?

498a can, but wont sustain, but she can definitly file a DV !

4.  Can the girl file for rape?

Yes! Check recent SC judgments

5. Can the husband claim the rights of child custody in a live-in relationship/unregistered marriage?

If you are still outside, and have converted to Islam, then you could as well claim child custody.

Look forward to recieving your queries.

Tks