Electronic Problems

(This is also posted in 12v and Security)

I've been having a lot of problems with the electronics in my car lately. After installing new Infinity 6 1/2's up front on friday, my clock has been really dim, and it wont save the time any more. It resets itself back to 1:00 everytime i turn the car off, and it flashes when i have my turn signal on. Also, we re-wired my cd player, and it worked at first, but now it wont turn on at all. Later on friday night, my dash lights went completely out, but they work fine now. I've checked all the fuses, and i noticed that my cd player and my cig lighter share a fuse. Does this mean they are on the same circuit? I'm curious because if the lighter is getting power, shouldnt the cd player also? I only have 3 wires from the cd player that are connected to the stock wiring harness: The 12v Ignition wire, the 12v battery wire, and the ground. I'm not worrying about the speakers right now. Oh, and I just bought a new battery last thursday.

So heres the summary:
- Clock is very dim, and resets when car shuts off
- No Power to CD Player

Any help would be awesome.