Random Problems

My car has always been maintained by factory recommendations, babied more or less. Replaced the air conditioner drive belt less than a year ago, alternator drive belt less than six months ago (along with a new battery), and a few days ago replaced the radiator, thermostat and shaft seal. It does not overheat like it did, but when I go uphill it still runs hotter than normal (no leaking). When I turn my air conditioner on it seems to cool it, and squeals like crazy until I turn the air conditioner off. The fuel mileage has gotten significantly worse and it is shifting hard it seems and randomly loses a little power. Before replacing the radiator etc. It overheated faster and lost a lot of power in heavy rain and if I drove through any water would stall and battery light would come on briefly (have not driven in heavy rain since it has been repaired). Randomly has a violent shake that sounds and feels like a rumble strip (extremely hard to steer when it does this). It will do it everyday for a week and quit for a month or more. There is a "card in spokes" sound coming from front drivers side that speeds up when I accelerate. Passenger headlight works sometimes, airbag lights randomly come on, one occasion my gas gauge went down to empty then after a couple seconds back to normal and my CD player started randomly stopping and I have to eject it and put it back in (never drive long enough for that to get hot) and also seems to be louder when driving. None of my fluids are low or abnormal looking. I have found a few things that I think could be responsible for it all, but it is not throwing codes according to an Autozone diagnostic. No engine knocks, smoke, fluids on the driveway. What could be causing the madness?