If you pled guilty already it will be difficult to withdraw that plea. I suggest you contact an attorney. If you want to find one in your area here on AVVO you can select "Find a Lawyer" at the top of the page. Good luck.
If all of the events you are describing occurred more than two (2) years ago, then it is way, way to late to change anything about what happened.
In Texas for Class B misdemeanors and above, the defendant in a criminal trial has at most 30 days to perfect any appeal of a guilty verdict or other finding of guilt, unless as part of any plea bargain agreement, the Defendant knowingly and intellegently waived his or her right to file any motion for new trial, in which case there would be no right of appeal.
For Class C misdemeanor offenses such as public intoxication in the JP or municipal courts, the deadline to file any motion for new trial is ten (10) days due to the lack of incarseration as an available punishment option.
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Situations like this are good illustrations of why it is advisable to retain or at least consult with an attorney whenever an individual is dealing with the unfamiliar territory of the court system. It sounds like your ability to reverse your plea is gone, but maybe an expungement is an option? Contact some local attorneys from this website and explore that possibility too.