Nice machine is you are planning on tapping channels by hand.
Your first drill chuck is for you center drill bit, the second for your pilot drill bit, and the the taper with collects if for your tapes.
As for the dial you asked about, it your depth of channel. Hence you zero it out against the work piece, and give you control for depths of bind channels for bind channel drilling and tapping.
As for drill speeds, easy enough to figure out,and start with the RPM of the motor. When both pulley are the same size, then the spindle speed will be the same as the motor. as the pulley on the motor decreases, and the pulley on the spindle increases with the belt on it, then increases the speed on the spindle isntead. So basic tape measure of the pulley sizes against each other, will tell you the reduction or increase speed percentages of the spindle verses the constant motor speed.
As for the press, would start with pulling the lower quad head drive, to check it bearings/spindles, and make sure it not littered with chucks of sheared gears. The chucks pull apart like standard chucks, so a good time to clean them up and lube then as well. The quad tapper is straight forward to pull apart as well and again, since it runs a collect system to remove as much run out as possible with the system, may need to have it's bearings replaced too.
How the tapper works,
As for the main spindle, can't remember if it bearing or shim, but easy enough to pull apart to check and clean up as well.
Lastly, the pulleys where not know to be balanced, but chances are is not the source of your vibration. So when you have it apart to clean up, try to balance the pulley, then the rest of the vibration will be worn bearings isntead.
Ditto on the base, and would just mount it to a large 1" steel plate that is mounted to the bench. This will give the machine enough rigidity, plus have a base plate large enough to mount a X/Y vise to as well.
As for a X/Y vice, hate to break the bad news, but unless you want to drop some serous coin, going to be looking at rubbish isntead.
Most cheaper units have so much lash to start with, that unless you have a DRO on it, your never going to be able to find the same channel on a repeat return to. Hence the reason for the press in the first place, since once you spot in the work piece, then its worked through all the processes to a finished taped channel before the work piece is moved again.