Hit and run, their insurance claims "he said vs she said"?

Speak to a lawyer about filing a claim for you. Good luck

Generally speaking a lawyer is better than none at all

Would I be entitled to half the check? If not, is there any recourse she can take to get me to sign?

This is too complicated to answer on this site you really should speak to a lawyer and have a consultation before doing anything.

I've been charged with a misdemeanor 3 false reports- reported offense did not occur, my question is can this be reduced?

It can be you have some serious issues you should speak to a lawyer right away.

What should I do about a summons letter I received?

You may a judgment filed against you. You should at least sit down with a lawyer and talk about helping you. It doesn't cost anything.

Do I need to be worried?

Unless it is some catastrophic injury then your insurer will handle.

I was hit and run. We followed the car for 20 miles until the police arrived. The guy gave fake insurance. What should I do now

I would advise filing a small claims action against him.

Do this person have the right to sue for medical expenses and couldn't perform and enjoy life.

Sounds like it may be a good defense however just give it over to your insurance company. Good luck.

How do I get my name off of a motorcycle title?

This is not real estate question. You may have to sue them.

Yes you can sue them for that. I would suggest talking to an attorney to see what would be involved.