Contact a DUI Defense Lawyer in your area, search this website or www.ncdd.com, but find a good DUI Defense Attorney if there is an allegation of driving under the influence. Yes, anyone can sue anyone over an accident and the coverage amount has nothing to do with your right to file a lawsuit. This is America and in a free country you should be able to exercise your rights in a legal process in any court room. But at .06, it's questionable that .06 caused the accident, more importantly, you should fight the .06 charge in a DUI criminal charge, if there is criminal charge pending.
The short answer is yes, because you are on title you may be held liabile for the harm and your insurance may or may not cover the harm. Even without the alcohol in an accident the legal owner can be held liable.
Good Luck and get your son a lawyer, he will need one.
I just answered a similar question elsewhere. Although the lawyer provided by the insurance company is paid for by them, that lawyer owes an ethical obligation to your son. If, at some point, it looks like the damages may exceed your policy limits, then they may advise you to retain independent counsel.
Like the other attorneys said, you should get your son a good DUI lawyer. In the meantime, the insurance company is driving the bus, and you are just along for the ride. Best of luck.
Jason G. Epstein, Attorney at Law
Premier Law Group, PLLC
3131 Elliott Avenue, Suite 710
Seattle, WA 98121
Fax (206) 599-6316
Washington Wrongful Death and Serious Injury Lawyer
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