Not answering would give the opposing party the right to seek an order from the civil court to deem the answers as 'admitted.' It is possible that being deemed admit might constitute an admission against interest in a criminal matter. If you are concerned about the possibility, you might simply answer those questions by objecting and asserting your Fifth Amendment right against self-incrimination. As to the other RFAs not having to do with potential criminal acts, leaving them unanswered would be your choice so long as you understand the effect on the civil case.
At the very least, you should ask your current attorney to assist you in this issue alone. Since he remains your attorney of record, he can not abandon you and leave you in a position of risk. He will remain your attorney until you either (1) sign a substitution of attorney naming you as your own attorney (in propria persona); or, (2) he makes a motion to relieved as your counsel and the court grants the motion.
The information given is generic and does not constitute legal advice, which would only be given after a consultation and complete review of the specific facts of your case.
I agree. Your attorney in your civil case cannot just stop working on your case if he is still your attorney of record. He cannot damage your case, which not responding to the Requests for Admissions could very well do. Either insist he perform this work for you or answer assuggested above to protect yourself in a potential criminal case.
I am licensed in California only and my answers on Avvo assume California law. The above answer is for general information only and is based on the information you posted. Every case is fact dependent, so to get a thorough analysis of your situation, you will need to consult face to face with an attorney licensed to practice in the jurisdiction where the incident took place. Do not conclusively rely on any information posted online when deciding what to do about your case. No attorney-client relationship shall be created through the use reading of this response on Avvo. You should never delay seeking legal advice, disregard legal advice, or commence or discontinue any legal action because of information in this response.