whoa im exactly the same as you amigo. Weaker left hand trembles more and everything too. I wouldnt panic too much, I dont think its an early sign of neurological issues down the road or anything, some people just straight up have twitchy fingers, same as how a few unique surgeons and gun slingers have hands as steady as rocks.

With the benching thing, youre just lifting slightly more than you can handle, If you got good grip strength it shouldn't be a problem