Hopefully this has all been disclosed to your attorney. The error in the name usage should be addressed immediately with a good explanation. It is a problem and may affect your credibility with your claim of injury. The cards will fall where they fall, but continuing or initiating a claim under a false name is a serious matter - so don't do it!
You can change attorneys anytime you want; however, under the circumstances it may be difficult to find new counsel.
If you have a bad relationship with your attorney you should hire another. It is unclear to me what legal context you are talking about. Is this a civil case or a criminal case?
Good luck with your situation. I would advise contacting an AVVO attorney. Many attorneys offer free consultations.
You can fire your lawyer at any time by simply sending a termination letter. Let your new lawyer know all the details.
Only 29% Contingency Fee! Phone: 215-510-6755 www.InjuryLawyerPhiladelphia.com