You should seek help of an attorney to fight this. The fact that you are not being charged with a DUI is good but this can stay on your record and still have consequences in your future. My colleague is correct, don't ignore this.
It is illegal to work once your work authorization has expired. The answer may be different If you have properly filed renewal and it is currently pending. In many cases, the duration of the work permit is the same as your duration of valid stay. You should seek help from an immigration attorney.
The immigration attorney who is preparing to file your petition is the best person to ask this person because he or she understands the strengths of your petition. You may be able to present other supporting evidence. It may also "help" to seek letter from a colleague who is familiar with your experience in specific occupation. Again, the attorney preparing the petition on behalf of your client should be consulted.
To be arrested means taken into custody by the police (City, State, or Immigration). Generally, people in jail because of immigration are said often referred to as being "detained" and in jail for criminal activity are are referred to as being "in custody." I really don't know your situation but seems like you need an immigration attorney that deals with deportation, again, really don't know what you are asking.