Just replace it with seperate caps. There's lots of room under the chassis to hide them. Just glue them down but don't use silicone unless it is *electronic grade* silicone. Ordinary stuff emits acetic acid that is corrosive to everything around it. You could likely find a NOS cap (I know there's a whole pile of 'em at an electronics supply near me), but I guarantee they'll be junk due to them just sitting unused. That be'n said, I would replace *every* electrolytic cap in the thing....it won't cost you much and that rules out failing caps as trouble causers.
Next, that board has a ton of pin/socket headers that hold the board down and make connection to the chassis wiring. Pull the board and reflow the solder on *all* of them. Look for any other cracked solder while yer "in there".
The power supply *must* be putting out the correct voltages before you go any further.
Just FIY, this is a composite video monitor, so you can make up a cable to run the output of a DVD player into it for testing to verify a good input signal. See the schematic (it is on arcarc). Input and gnd are P1-1 (vid input) and P1-2 (gnd).
These are bone simple monitors and among the easiest to work on.