What actions can my mom take to have her case dismissed or stipulated in Texas while incarcerated in Oklahoma?

Hire a lawyer in the jurisdiction from whence her troubles arise. There's a process, but it will take a lawyer to make it happen. Good luck.

My husband has been on probation for 2 years for Dwi . We haven't been able to pay all fines which stand at 1600.00

Pay it off, hire a lawyer and have him file a motion for early release.

Hit by a driver running a red-light; now he's claiming "not guilty" in court?

Redirecting this to the car accidents forum.

when pleading no contest what is correct answer to give judge when asked if there is any factual basis

That question should be posed to the state. All you should be saying is "no contest" unless you are seeking to turn that "no contest" into "guilty."

That question cannot be accurately answered here. Many factors go into determination of a release date, and we don't know what those are with...

You are not entitled to appointed counsel or a public defender on Class C charges. However, that does not mean one cannot be appointed if the...

You shouldn't have to worry about the DWI causing a re-arrest. However, immigration may be lurking around waiting to snatch you. What you need is...

Get that lawyer NOW. You might be able to salvage your situation but you will need a very good attorney to do so.

Can I represent myself in court and have a court appointed attorney as well? What are my chances of being continued on probation

Hybrid representation is disallowed. He would be extremely unwise to represent himself.

Hypothetically, could the judge order me to blow in order to attend a sports activity or a school function?

Redirecting this to the child custody forum.