Screaching noice on passanger side and drained battery

engine vibration to me seems to be the problem, try checking your oil and spark plugs these can cause your engine to vibrate worse and run worse

Check your belts, the screaching noise was probably coming from the belt slipping. Make sure the alternator and all the pulleys are turning freely.

To start, these may or may not be related. First off, the clicking noise from the rear is one of the actuators in the rear HVAC unit. It is clicking either because the door it controls is stuck or the gear is stripped.
What wire did you cut to stop the clicking? And did you tape it up to prevent shorting? If that wire is contacting something, it will cause the battery to drain.
The cars dies when you turn on the AC because you need to clean the throttle body. When you replaced the battery you reset the computer, it now has to relearn to the dirty throttle body.

its interference from the alternator ,for whatever reason which i think is your problem but i could be wrong it could just be the radio has damp inside it and may dry out with use like have the heater on ,without hearing the noise its difficult to pinpoint exactly what the noise is ,yes their is a difference in the type of noise as to a clue as to what is causing the noise .

I'd check the U-joints first. Then, check for low gear oil level in the gear box.
Also examine it by draining the gear oil to see if it has any metal fragments in it.
If it does, you probably have a bad bearing or something else coming apart.

my first suspect would be a altenater bearing.

I had the same exact problem with my 2003 Focus with 108,000 on it. Making right turns and accelerating was even worse. Had many ideas from differant mechanics saying it was wheel bearing, steering rack, loose heat shields, transmission...ect. Well after having wheel bearing replaced and steering rack replaced, the grinding was still there. It was finally discovered that the noise was coming from a bad motor mount on the right side. Had the dealer replace the motor motor mount and finally!!! the problem was solved. Thank God.

what is an immobilizer??!!?? anyway make sure your batter is charged sounds like its just drained. if your battery is good then it just a bad starter.

2 things can make a belt squeak.either they need to be tightend or you have something that one of the belts run that isnt turning freely and causeing the to squeak,Let me know if this helps.

check your wiring on your battery and the starter if there is no noice at all something may be loose.