Replacing capacitors in IPS monitor
That "100" device is clearly a inductor, probably 100 &micro;H.  No, these things don't leak, and I see no evidence of that in your picture anyway.  It is very unlikely to be the cause of the failure.

The clicks you are hearing probably have something to do with the switching power supply this inductor is a part of, but beyond that it's pretty much impossible to guess further without real information, like a schematic.

Given your level of electronics, ditch it and move on.  It's junk, broken, kaput.