Oil based finishes can be applied in much cooler temps than most folks think. But the drying time becomes very slow, and that can cause problems. The longer the finish is "sticky", the more time it...
For a baseball dugout, I would just use an exterior plywood, like CCX---the same stuff you would use to sheath a roof when the underside is exposed.
The table looks really nice. Good job.
If it does no have a replaceable center, remove the shaft from the tail stock and take it to a machine shop and have the end renewed. It is a quick and easy fix.
I do not have this machine but you may want to check the following:
Unplug the saw and remove the saw blade.
Check to see if saw dust has filled the cavity directly under the push button....