I've just fitted a replacement TRS (Tip/Ring/Sleeve) barrel jack to a Warwick; it was n easy job, as it has a solderless connection to the (active) control circuit.
If it's an open socket, then Switchcraft are my preferred brand.
Sometimes you can fix a loose socket by just pushing in the tangs a bit so they grab the jack plug tighter (but don't overdo it!).
(And yes, it is an output socket!)