You know the answer. Get a lawyer. The fact that you're fishing here for answers even with a law degree shows it is ill-advised that you go this pro se.
Further, you should no that it's not false arrest. All arrest needs to meet is probable cause that a crime is committed. Even if you are factually innocent, that doesn't make the arrest "false."
Again, it makes me wonder whether you were paying attention in law classes.

The case history in NY shows that concealment (which you admit) is not of itself larceny. However, if you are moving towards the exit (which the LP seems justified that he seems to think you were, even if you were just trying to go to a different part of the store), the fact is you most likely passed places where you could have paid for the bagged items and you did not, which presumes you didn't have the intent of doing so.

The statements in the charging documents aren't going to matter. They just are the probable cause for the arrest/charges. The LP agent will have to testify in court, and your lawyer will have a chance to cross and offer testimony in rebutta.