Shower Controls Leak

[finz04]

Appears I have a small, minor leak from the cold water control in the shower. It's incredibly slow and appears to only drip in the shower. At least at the moment. I'm thinking I need to pop the four screws that hold the control housing to the shower and that should expose the back of the valves. Likely I just need to tighten the finger fittings or maybe add some plumbers tape. and then re-caulk with silicone once I have remounted the housing. Am I on the right track? Is it just that simple? Obviously if upon inspection I find a crack somewhere or a problem with the cold water line then I move on to the next level. I've not ever taken one of these off the shower wall. So I thought I would ask first. Thanks.