Looking at the burn on the pot - looks like it may have been caused by something shorting it out right there. The pot does not see much in the way of current.
With that said - you can usually bring the monitor back by replacing the Aluminum Electrolytic capacitors on the board. There are 19.
With the burnt pot problem, it should be replaced along with the transistor item number 185 ( 2SC4159 ) at a minimum.
Remember it's a CRT so be careful with the High Voltage present, it can linger a long time. If you are comfortable with replacing these components and get it back together you can see what else may be wrong from there.
I have parts and information if you would like help. PM me. The information is in the forum download section you should be able to access as you are a contributing member.