Blinking interior lights, clicking sounds and trouble starting?

Hi,

Let me begin with, I'm not a mechanic, but I can follow directions. One day the car was fine, and the next, it wouldn't start. I thought it was the starter, I hit it a couple of times and it wouldn't start, but then I used an impact wrench and a trailer jack to jack the car up and I thought it vibrated something, because then it started. I attempted to drive it to the store and the dashboard lights (not sure if the other interior lights joined in on the fun) began to go out and come back on. I replaced the battery and it tested at 12.5sh volts. With the car running I checked the battery, and it came back at 14.2. I changed the battery posts, and
I removed the fuse box to make sure there were no loose connections. I checked the engine ground, it was 0, and the chassis ground was 0.01.
The blinking and clicking noise appears to happen whenever an electrical event occurs (e.G. Opening a door, turning the car off, etc.)
I noticed an inline Maxi fuse (one side had some type of glue? In it, maybe to keep anyone from using it, but why leave it hooked to the positive battery terminal? However, since I don't know if the other side is an exposed dangling wire, I don't want to just stick a fuse in it.
Any ideas on what the problem may be, and how to fix it?