I tried the Starfleet Academy Event yesterday. At first my character got stuck in a Klingon, I was still able to shoot, but nothing happened and it didn't affect the Klingon.
I logged out and in again, this time everything worked, but the screen froze every few seconds and after a few seconds my character jumped randomly ahead. Sometimes everything else would freeze, but my character would still keep running, until he froze as well a few seconds later.
So I logged out and in again. Now it worked better, but the movement was still everything else than smooth. But at least I was able to play.