trigger bar position
 

I notice on both my G19 and G36 when I remove the slide, the curved rear end of the trigger bar is to the right and outside the connector. Is this normal or is it a tension problem with the connector? Slightly pushing the trigger bar forward will let it snap back under the connector. Does this happen all the time when firing the pistol too?

Yep that is normal.
Yep, when you push the connector the trigger bar should reset.