I'm betting that the table isn't square to the blade. My Cabinet Makers Table Saw does the same thing - the top plate (the big heavy cast iron plate that weighs about 50 pounds) sits on top of the sheet metal box that houses the motor and motor lift. This cast iron plate is held onto the sheet metal box by 3 screws (usually).
Loosen the 3 screws and the cast iron plate can move around on top of the sheet metal box (the holes for the screws are large enough to allow 1/8 inch movement). Looking down from the top, you can rotate the cast iron plate clockwise and it will move the front of the blade closer to the fence and the back of the blade away from the fence. Counter-clockwise does the opposite.
For the best adjustment, use a dial indicator mounted to something that slides in the track of the table top. Position the dial indicator agains the blade and slide it back and forth in the track of the table top. This will accurately set the table top to the blad (so they are parallel within 0.0005 inches).
Then check the accuracy of your fence (sounds like this is good). Don't forget to check the alignment of your riving knife/guard & splitter to the blade (if it's off you can't feed wood because it will hit the splitter).
Go on line and download the manual for the fence. You can take it to the hardware store (not Home Depot) and pick up the hardware you need. Everything is listed in the instructions with a nice photo. The bagged sets are available from Beisemeyer but they may cost you more and you will have to wait. I purchased a fence from big box and the set was missing. I called Biesemeyer and they sent one to me for free.
Yes you can adjust the angle of the fence. There are two adjusters at the front of the fence where it meets the fence rail. Adjusting these will pivot the fence either slightly left or slightly right.
There is a basc video on youtube my daughter made to show you how to align yourfence to the saw blade.