Won't go over 30 miles an hour without terrible whining noise.

Possible bearing in one of the drive pulleys. I have changed numerous alternators for this noise. Take the belt off and start the car. If the noise goes away you know it will be pulley related and not transmission related. If noise goes away, spin all pulleys by hand to determine the defective/noisy one

No idea without a drive so please ask a local mechanic to have a look for you

Bad steering rack & or steering pump

Try flushing the fluid, as you should be doing every 3
years on all vehicles

After that-- have to diagnose & start changing parts-- if
you don't like the noise

trans will raise line pressure when cold that will cause hydraulic pump to scream causing that noise, so check your temperature gage and t-stat to make sure its getting up to temperature has intended by manufacture a cold engine will hold gears longer and at hi press until working temp is reached. good luck.

Might be a louse belt, air in the steering rocker arm system, a bad CW joint, or anything else. Try to locate the source of the noise first.

Sounds like a charging problem. When your battery runs low there is not enough current to operate the sensors properly. When you charged the battery it thought the system was fine till it gets low again. I would have your alternator checked and battery. Good luck and have a great day.

I could be. It is not the ring & pinion for that noise stays around all the time

Hey Gary, take your car and get the transmission fluid and filter changed immediately... you will be glad you did...(expensive lessons speaking!!!)

sounds like syncro bearings in trans