You can, but 1) do you know how; and 2) on those facts, WHY?!!! You have great facts (according to you here) that may actually lead to a dismissal!! Don't plead to anything without talking with an attorney first. Hire one or request the public defender at your arraigment. Good luck.
No - you are mixing up dates and times and legal things. Time starts to run from your arraignment. If you pled not guilty and did not waive time, then it begins from that date. You say 45 days, so I assume you were charged with a misdemeanor. Your trial must "start" within the statutory period - it doesn't have to finish within that time, however. Follow what your attorney tells you - he/she is well versed in the law and local rules.
Means either the DA dismissed counts one and two as part of a plea to count three, or a jury only found him guilty on count three, or there was a motion to dismiss made by the defense and the court agreed only on counts one and two.
No. The public defender wont get involved until a case is filed. You would have to hire an attorney. No you aren't under any obligation to meet with them, so don't. The less you say the better. If they file a a case against you, consult with an attorney then.
Your public defender sounds like a great person. Public defenders are professional lawyers just like the rest of us, but with (argueably) bigger caseloads. If you feel comfortable with your attorney stick with them. That's good advice no matter what the situation.
Whether or not you will be found guilty of ADW, or any crime for that matter, depends on so many different factors, too many to name here. Get an attorney who can review the facts of your case and stratagize with you to get you the best possible outcome.
Can you? Absolutly. Whether the DA agrees to a wet reckless, well that's up to them. Getting an experienced attorney is absolutly crucial. If you are dissatisfied with your PD, you can always hire a private attorney.