From the facts you provided seems like you just had an unfortunate accident, best of luck in your recovery.

There is a lot that needs to be examined more closely, a lawsuit may not even be needed to recover money for your injuries. My strongest suggestion...

What damages can be added on top of the appraisal value of a vehicle for insurance bad faith? ex: sales tax,legal fees etc.

The question is unclear, a writ being filed indicates suit - if you have an attorney who filed on your behalf these are questions that need to be...

I need some advice

You should consult with a car accident lawyer ASAP, avvo’s find a lawyer tool is a good place to start.

Under what circumstances do insurance companies pay personal injury judgments without a signed release from the injured party?

According to your question you sued and won, you can’t go back for a 2nd bite at the apple from the same event.

Is legal action worth it?

Likely you would have to pay a lawyer hourly to handle it, does that sound worth it to you?

My attorney said my auto accident settlement is only for 25000 due to me lying on my property claim. Although I did not

You are represented by counsel, there are lots of factors in determining what is an appropriate resolution for any car accident case; you should...

Am I entitled to a new car, less then a month old and only 935 miles on it when it was hit?

It sounds like you rear-ended the vehicle in front of you... unfortunate, but you better check on the law in PA regarding the assured clear distance.

Didn’t you sign the release with the amount on there?

What recourse to I have against either the person who rented the car, Enterprise, or Enterprise's insurance company?

You need an injury lawyer to help you, avoid ha a great find a lawyer tool to get you started.