Ill give you my opinion on these but i am no expert.

1. I would either leave it as it is, or make it have its own secluded circular counterclockwise current. I definately wouldnt try to cross tge currents as it wouldnt make much sense, and i wouldnt see a current squeezing its way through that small strait to the south either. I would assume that you wouldnt even have a continental shelf drop in that strait anyways.

2. I see no reason why it wouldnt, as the current is moving forcefully in that direction and theres nothing in the way to stop it, seems to make sense to me.

3. I would assume those currents are fine aswell, as they are up againdt one landmass most of the time just like your other currents. Not so different from earths north pole current i think.