engine compartment light?

I finally got some mini fuses to replaced the blown one for the under hood light and air pump. I had unplugged the air pump a while back to remove it from the circuit when I got around to replacing the fuse. I put a 10 amp in place of the 25 since it's now only the light.
The light doesn't work, there is power going to it, verified with a meter, and the bulb looks good. Looks like the light housing has some sort of mercury type switch in it. Any troubleshooting tips to repair this? Or tips on how to remove and replace the housing? It looks like it's riveted in place.

Poor bulb connection?

I have to smack my light with my hand to turn it on.

I have messed with the bulb and tapped on the housing and nothing happens...

There is a little bit of corrosion around the part next to the bulb, I assume this is the actual switch part.