My first piece of advice is to no longer give specific facts of this case online. These posts are not protected and you don't want someone using them against you later on down the road.
Second, it would be in your best interest to retain an experienced attorney. There are ways to resolve this case in a way that will keep a conviction off your record. A prosecutor already has issues in proving this case; however, he/she may be willing to negotiate an early agreement to keep this off your...
Without knowing the facts/circumstances surrounding the case, its hard to say because we don't know the possible defenses or arguments to lead to exclusion of evidence in the DWI. This is a serious case though, with many potential consequences. Your situation is two-fold, however, because there is the potential of losing your stay of adjudication on the assault, and possibly violating that probation.
It would be in your best interest to contact an attorney privately to discuss these matters....
You are facing a criminal charge based on these facts, so I would say that yes it is worth contesting (as would be any other criminal charge). You may have a good case, especially if the officers failed to read you your Implied Consent rights. For the fact that most DWIs occur late at night, or even in the middle of the night, there are difficulties in actually being able to speak to an attorney.
As for your public defender, I don't know him/her, or the situation in court; however, the fact...
It may be possible, but not guaranteed. Having an attorney negotiate for you is your best bet. It really depends on many different variables. If you haven't already done so, you should discuss your case with a criminal defense attorney.
Your best bet at getting the charges dropped is to retain an attorney to fight for you. It sounds like a weak case against you. You certainly want to fight this, and remember that the prosecution carries a high burden which they must meet before you can be found guilty.
I wish you the best of luck.
If there is no custody order issued by the court, then you as a parent have the right to bring the child to your friend's house. I would advise you to file for an Order for Protection as soon as possible. You can do this on your own, or with the help of an attorney. If you go to www.mncourts.gov/selfhelp/, you can find information on applying for the OFP.
I hope you find this information helpful and feel free to contact me if you have any further questions. I wish you the best of luck.
The short answer is yes. However, it will depend a lot on the facts and evidence. For example, can some, or all, of the evidence be excluded. Also, a lot will depend on negotiations with the prosecutor. There are many jail alternative options which can be explored.
It is very important to be represented in this process. Feel free to contact me if you would like to discuss your case gurther. I wish you the best of luck.