Does my daughter have to take with the insurance company offers her through an accident no fault of hers

Geico is notoriously "bad". They do have to pay for the repair and some other items; but not much else. Sorry.

My car insurance company just dropped my coverage due to "Claim Frequency" and household driving activity.

It is always advisable to re-price any insurance every 2 - 3 years. Perhaps this is a "good" thing.

No. Uninsured coverage concerns damages such as pain and suffering. Your attorney will explain.

How do I get this guy's information and make him pay?

You may have to do a Freedom of Information Request.

Highly unlikely. Is that the remedy that you think is appropriate?

What can I do if a person, who hit my car, says, she didn't

Small claims court may be your best option.

My mom was in a head on vehicle collision, should she file a lawsuit for damages, expenses, medical, time off work, etc?

Unquestionably, she should speak with qualified CA counsel - and before speaking with anyone else. Good luck.

What is the statue of limitations on filing a suit for personal injury?

It appears to be 3 years. Confirm with DC counsel. Good luck.

If my grandmother dies from pnuemonia because no heat can i sue the landlord who buys the propane she pays utilities for?

Certainly, speak with qualified CA personal injury counsel. Good luck.

"Catch to the law"; sorry, no. However, a good OH lawyer will be able to decipher if you have a legally sustainable case. Good luck.