Can I fight this

They have the burden of proof, not you.

Not sure how they would know, but should not effect your rates.

I got into a car accident and i wasn’t at fault

turn it over to all insurance carriers and allow them to figure it out.

Can a service provider demand a credit card to be given to him as a "security deposit" in a location where there is no terminal?

But you gave it to them ultimately. Sounds like bad business practice but not illegal.

How long is a settlement valid for Geico as an insured passenger?

Yes. Contact GEICO claims dept and ask about the check.

If you can show some sort of manufacturing defect you may have a case. These cases are costly. Are your injuries significant enough to finance such...

Pregnant and the victim of a crash where I was not at fault- Can I sue?

I believe it is not something that you would be successful in litigating. Not a direct causal effect.

Ins denying claim with witness in my car after hit an run?

Yes you may sue. Yes the damages may not be worth the cost of litigstion. Consider small claims court.

My wife was t boned on a through road by someone exiting a wal mart lane. How is this person not at fault

If they were pulling out into traffic without a turn signal, that failed to yield the right of way and are liable.

Will charges be pressed by the police? What can I expect?

Contact a local personal injury lawyer. I am unclear as to whether you crossed legally or not from the narrative. That will determine fault and how...