How do I withdraw my plea.

You would need a legal reason to withdraw te plea. If the plea was made voluntary, intelligent and knowingly then you won't be permitted to...

What can I advise my public defender to do on my behalf

Your public defender will advise you. By the other way around. Just be 100% honest with them

What can I do to resolve this matter without any transportation to get there to court and solve this issue???

Get an attorney....................

Is this a serious post? No you can't sue them. They have no duty to you.

Was this lawful for them to charge me even though I was undergoing alcohol poisoning?

I can't see that being a viable defense. That's like saying people who OD on cocaine can't be prosecuted.

Going to the police dpt to find out if my boyfriend has any criminal records can be considered harrasment and I will get copies

I seriously doubt the police dept will be helpful.

Silence or failure to act wouldn't be illegal unless you had a duty to act like a counselor. However, I would be careful about texting back. Once...

Is there any legal action that can be taken against the man in this situation?

yea it's called child porn. Age of consent only deals with sex, not with recording. The guy could be in big trouble if reported.

Can I sue Buick for getting a ticket and for my car not being sage to drive.

No. Did Buick make you drive the car with the headlight out? You should've not driven unless you knew both were working.

Which can give a criminal record

I have a feeling that this is the same asker as before. It depends on how you were charged. Both fare evasion and trespassing can be charged as...