I'll explain the Baton Rouge part.
UL is a state agency.
Venue for lawsuits against state agencies is in Baton Rouge.
Baldwin's first win was to file in BR and take the case away from the people who saw his incompetance first hand.
I don't understand the rationale in placing the case before a jury because a plaintiff does not have the right to a jury trial against a state agency. The fact that it was a jury trial means that UL must have agreed to a jury.
It did not help that EBR has a more liberal jury pool than Lafayette.
What you should place your faith in is the hands of the district court judge who originally threw the case out. There are a few post trial motions available to UL (JNOV, New Trial).
I'd rather be going to the First Circuit trying to defend a successful post trial motion than trying to overturn the jury verdict. The standard of review is different.
If it is a factual determination, the court of appeal generally won't touch it unless the error in judgment was such that "no reasonable person could differ" on the conclusion. If the facts are subject to varying interpretations, the court of appeal is not going to overturn it just because one version is better.
In otherwords, if "reasonable minds could differ" the court won't touch a jury fact finding.