Anybody who is charged with a crime in entitled to a fair trial and "due process." If important evidence was somehow hidden that could have helped you, a Court of Appeals would want to know about that in a timely fashion.Ask a similar question
There are many factors that come into play. Those couple that you mention are likely just a couple.
You need to decide if the entire appeal record supports a reversal and if you want to have the ruling reviewed, check with an TX lawyer to go over the entire record that would be part of an appeal.
"Questions to Consider Before Bringing an Appeal" is my Legal Guide you might find helpful
The best way to proceed depends on the answers to these above questions and many others.
If you have no lawyer, in choosing a lawyer, you might find my Legal Guide helpful "How to Choose A Lawyer For You"
You might find my Legal Guide helpful " What Do I Tell My Lawyer"
The best way to proceed depends on the answers you provide and many others things. You should get a lawyer to lay out all options.
Good luck to you. I am in Chicago and do not practice in Texas.
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