Does anyone knows the specific name of that part and the torque that is suppose to be?
No. it's a half moon key and the timing gear has its own key just like it. The latter is inside that slot in the timing gear and out of sight. The balancer key only secures the balancer and doesn't need to extend back. The key can be loose on the front-to-back axis, once the balancer is in place the straight edge will keep it from turning. It needs to be a snug fit side-to-side so it doesn't let the balancer rotate on the crank nose.
No, either your clutch is wearing out or your pressure plate is jacked. If it's slipping with 100 lbs/ft from a torque wrench applied to the crank, it will be slipping when the crank applies 100 lbs/ft to the transmission.