I am sorry to hear that your life is such a jumble these days. I can give you at least one piece of good news here. A C misdemeanor, while classifed as a criminal offense, has a civil penalty only. So while it is on your record, Texas doesn't actually see it as a crime. The Texas penal code makes it clear that a conviction for a Class C misdemeanor "does not impose any legal disability or disadvantage". That means that it cannot be considered to use against you. You can see that for yourself in section 12.03(c)
As far as the other offenses are concerned, you would have to be convicted of all of them to worry about felony time. Only one charge is pending against you presently. The others may or may not come about. And in any case, if there's a mental health warrant out on you and an investigation into your competency, the state may be actually assisting you in a defense. That is, they are at the least recognizing that you may not be responsible for actions you've been taking. And we do not in this country try or extract pleas from those who are not competent to assist in their own defense or to make them. In any case, do not worry about an alibi defense on the possible 4th misdemeanor. Lawyers don't like alibi defenses in general and most would probably want to try that case under another theory of defense such as, for example, mistaken identification.
I don't know much about a Texas mental health warrant. All states have some provision to get someone evaluated, against his will if necessary, if he appears to be of a danger to himself or others. Texas allows any peace officer within the state to pick up someone believed to have these sorts of problems, and they can do so with or without a warrant in an emergency situation. See link.
With everything not quite going on but possibly pending on the horizon you really do need to get yourself a lawyer. If you have one on the domestic violence case, you should be letting him know what else may be likely to come down. And you ought to confer with him about whether, all things considered, it's a good or bad idea for you to voluntarily commit yourself for evaluation, rather than wait for the authorities to find you. He can advise you fo the ups and down sides of both positions and help you to make a decision.