The way would be what you probably already did, search the companies name in court records. Note, a company may have more than one name.

More facts would be needed. Have an attorney review the facts and or documents.

Yes you can sue the attorney for the fees or initiate fee arbitration if available. Do this before reporting the attorney to the bar!

A quick online search may lead you to attorneys handling these cases.

File suit against them in small claims court or wait to see if they sue.

Yes the dog owner can be sued for the expenses.

There calculations are probably due to the fine print of the terms of service. Consult with malpractice attorneys. Look for attorneys already...

It may be a malpractice case. The involved fact pattern needs to be reviewed by experienced malpractice attorneys. Due to the timing consult...

Your wife might have a viable malpractice claim. Consultations with experienced malpractice attorneys are in order.

This is a suspicious situation. Consult with experienced malpractice attorneys.