Power Steering Pump problems of the 2005 GMC Sierra 2500

1) the driver door power windows,locks,and extended mirror buttons quit working,I can be driving down the road and I cant roll the windows down ,cant adjust my mirror and time that I stop to check the fuzes the door controls start working again. I try to lock the doors when I get out of the truck and nothing is working the pass. Side works fine,I took off the door panel and they start working but by the time I put the panel back on . There still work but come back out and they quit again. 2)something wrong with my steering I thought it was my powersteering pump and replaced it ,but there still something wrong I think it might be the steering box I have oil leaking somewhere around there 3)its my air conditioner and heater, I can have the air on I get nothing but hot air on the driver side and cold on the pass side. I can use the vent with air and its the same,just hot on the driver side. And not on the pass side. 4) I keep losing the GMC center cap on my factory wheels I keep the black lugnut covers tight but I lose another center cap, 5) GMC aluminum rims clear coating pilled off.

Truck has been in dealer numerous times for severe noise of power steering pump, loss of brake boost and steering assist at low speeds. Pump was replaced and noised disappeared for just over 2 weeks and started again. Dealer explained that gm is aware of problem, but is only taking calls about the problem from one area code while they try to isolate. Dealer then replaced the steering gear with no correction of problem. At a standstill, turning the steering wheel about 3/4 turn results in complete loss of steering assist and sometimes brake boost, plus excessive pump noise. Dealer is now trying to tell me this is normal. There is a technical bulletin on this problem. Gm has instructed dealers not to replace the power steering pump. As they have received too many pumps under warranty that appear to have no problem. Driving the vehicle at 1200 rpm and steering right or left will generate a groaning noise that drowns conversation in the cab and at times results in reduced or failed brake boost. The same loud groaning noise occurs when slowing the vehicle from highway speeds without any turning of the steering wheel, as the engine rpm falls through the 1200 rpm range. Sounds like a hydraulic system with air in the system, low fluid or being push to over-capacity. Gm is not being responsive to the excessive number of customer complaints. I know others with the same problem on several years of 2500hd duramax trucks. It is not at all difficult to find others with this exact same complaint. The noise appears to be an under capacity hydraulic system for power steering and brake boost. Gm is either ignoring the problem or hoping the problem trucks will expire warranty. More owners need to complain and force a recall to repair this defect in design. Contrary to my dealer's assertion, this is not normal. I have been driving long enough to know "normal" and a "problem Dodge" when I see it.