Sounds like normal operation when there is no tape loaded. The reels each only drive in one direction. The difference between the selected directions is the amount of torque each reel is driven with. If you will notice, in foward direction, the right reel has alot of torque (take-up), while the left reel has only a small amount (back torque). In the other direction, the torque amounts are reversed, left to right, but the spin directions will be the same.
Now for the not stopping...In fast mode (or any mode), the tape presence sensors (in the tension rollers on each side) will stop the deck if they are allowed to relax, immediately, using the reel brakes. However, this deck implements, by control logic, the practices of tape professionals, in that to stop from fast mode, the deck is switched to the opposite direction fast mode to use the reels motors as brakes, until the reels come to almost a stop, then the stop button is pushed to drop the brakes. This method is the most gentle on tape. This deck does that automatically, by watching the tape counter signal. When you push stop, the drive and back-torques will immediately switch sides, and the brakes will drop only when the reels slow to almost a stop. If there is no tape loaded and the tension rollers are being held up, you will not notice any response to the stop switch, and because the reels do not slow down, the brakes will not drop. In such a case, push one of the tension roller arms down to relaxed position, and the brakes should drop and stop the reels.
I hope that helps...
Enjoy,
Rich P