#1 is the AC line filter.
#2 Is the isolation transformer.
#3 is the power supply.
As far as identifying your monitor you are photographing the wrong stuff. We don't need to see what kind of tube it has, we need to see the circuit board of the monitor, and in particular any numbers or stickers on them. It looks like a Wells Gardner monitor to me, but I know my 19" monitors a lot better than my 25" ones. Matter of fact, it looks like the kind of monitor you have is silk screened on the lower left hand of the monitor circuit board. Don't feel bad though, when I got my first monitor my first thought was identifying it by the tube.
Also, your monitor is working, it just needs a little work. Often you can adjust out a lot of monitor problems, although with the exact age of your machine I suspect the monitor has never had a cap kit done and that will take care of most of the problem.
Finally, your cabinet SHOULD be able to just barely squeeze in a 27" monitor, and those are pretty common in VGA format. But I would just use the one you have.
A little monitor burn is no big deal and really doesn't detract from the arcade experience, since the arcade experience usually had burned in monitors.