It's easy enough to tell if there is water in the trap, just loosen the slip joint nut there on the swivel.
I don't see a problem with any of what I'm seeing there. And I always use 1.5" traps on those. I've installed maybe two 1.25" traps in the last year, because I was limited at the wall, not by choice.
The vertical from the stopper down the the trap can collect goo and hair pretty quickly. I'm always amazed at how quickly that happens, and would love to have the long haired people in the home learn how to clear those. But they do have other good qualities, so I figure it's still my job.
Last week, I did my normal fix for a client in Edmonds, pull the stopper, pull the trap, put a bowl under it first to catch water. Take some paper towel, wad it up, and then push it down from the top into the waiting bowl.
Yuck!!! Didn't really want to see that mess.
Now put it back together. The other thing you might do is to pour some Clorox down the overflow to clean that up a bit.