I wish there was something I could do or say to make this better for ya. This bites. I've been reading all the posts and seems everyone else has given you excellent advice.
I do have one comment to make.
-----I'm not in the least bit concerned with the rape allegation. It is completely, obviously bogus-----
Buddy...you SHOULD be terribly concerned with this. Look at it, man! Rape? Cripes! That's not little...HUGE HUGE HUGE. If she's anything like any of the other exes here, or mine...this could be the 1st of many.
I thought the same thing when I was falsely accused of a felony. No biggie...I didn't do it, I'll be let off, I won't serve 6 years in prison. Well...guess what? Even though the jury found me not guilty, I still DID 6 years...it took me that long to get my son away from this monster. Once a child is in someones care..it becomes status quo...something that's VERY hard to change.
Lots of "parents" are vicious when it comes to custody and
child support. Things you think she'll never do? Think again. She's accused you of rape, meaning she wants you GONE! Something tells me she ain't stopping here....
Good luck in everything you do...Good luck getting your children. I'm sorry I don't have great things to offer you.....