If you have decent door speakers you shouldn't need the door tweeters anymore. I would buy some nice 3-way speakers with tweeters in them and not worry about the upper ones. If you still want tweeters up there then i'm sure you could add some 4 ohm tweeters up there. If you run those off the same wire as the bottom door speakers you will end up with a 2 ohm load on the amp, which is less (8 ohm +8 ohm = 4 ohm, 4 ohm + 4 ohm = 2 ohm, etc.), and that means your amp will actually put out more power, but most headunit amps aren't meant for a 2 ohm load. Also, the tweeter will get the same amount of power as the door speaker, so the highs will probably be exagerrated. Let's say your sony headunit has a 50w x 4 amp. Well that means 50w per channel - front right, front left, rear right, rear left. So your front tweeters would get like 35w each, the door ones would get like 35w each (at 2 ohms). Then if you ditched the rear tweeters and got 2 5x7's with built in tweeters, they'd each get 50w (cuz they are still on a 4 ohm load). Another option would be to buy a separate amp for your tweeters up front. I really don't think you'd need tweeters in the back seat. The 5x7's are in a good enough location for ppl in the back. Besides, YOU are the one who listens the most, and you're up front.
The easiest thing to do if you go with a new headunit would be to get door speakers with tweeters already on them, and the same for the rear speakers, and don't worry about the separate tweeters. If you still want those tweeters, you could get a separate amp and use the RCA outputs on the Sony headunit to run a signal to the tweeter amp, then run wires from that amp to your new tweeters. I don't think you'll be able to find replacement tweeters though. I've looked. You could stick some tiny dome tweeters in there though if you pull out the old tweeters. Most tweeters can only take about 40w or so max, so you won't need a big amp for those. Then later down the road you can add another nice power amp for some subs if you need more bass.
Is the static consistent with your engine rpms? Because if it is, your nose filter went bad. New plug wires can help this because they will have better insulation. Also I believe radio shack sells filters for this. If it is something else I dunno what to tell you. The antennae could be damaged, or the wiring from it to you stereo could be damaged somewhere. I would give it a good look-over and see if the antennae is ok.
Hope this helps...