It doesn't take Nostradamus to conclude that someone entering the theatre without buying a ticket is acting suspiciously - particularly when Brewer is following the guy - and so she reports that to the police having no idea whether this is the guy they are looking for.
No, apparently it takes "women's intuition".
She told the police that the man in the theater was "running from you for some reason" and that when the police drove by, the man ducked in. She didn't witness anything of the kind. She was out on the sidewalk looking the other way.
And before you make up yet another strawman, I'm not saying that Lying Richard's Fantasy Conspirators (tm) told her to lie. But her statements are false.
She reports it and the police respond accordingly.
The police responded
illegally.
All Oswald has to do is clear this up by explaining himself instead of punching a cop and pulling a gun.
He didn't pull a gun, Lying Richard.
When was he supposed to explain himself? Before or after "Captor of Oswald" tried to feel him up? And explain what? His funny looks?
Your hero can't do that, however, because it turns out he is the cop killer and assassin.
The fact that you can't formulate a rational argument without your "hero" and "client" rhetoric and just stating over and over again that Oswald was guilty demonstrates just how empty that rhetoric is.