1989 Supra will not start, New battery. 5 Speed

Is the engine turning over with the key in the start position? If the engine is not spinning over and you hear a whining noise, the starter is not engaging the flywheel. If the engine is turning over with the starter engaged, the engine has most likely jumped time that creates low or no compression which results in the whining noise.

turbos make a whining noise at a load like taking off or pulling or full throttle and some turbos after they warm up and are staying at a speed not under a load the whining will still be there but you wont hear it over the road noise some are self oiled some you need to check from time to time

Hi,
it sounds like you may have a leak on the intake air system or the turbo has a fault.
You don't state your skills level so I am reluctant to dispense advice that you may not be familar with.

A simple test for airleaks on the inlet / intake system would be to start the car, (parking brake applied and trans in P / N or neutral in a manual trans.) Visually check the intake system for broken clamps, damaged hoses, especially the air hose connected to the turbo. A small leak will produce a very evident "whistle". If the turbo has covered a lot of miles, the compressor wheel and turbine blades may be in contact with the housing, due to worn bearings. Turbos spin in excess of 100,000RPM so it doesnt take much to throw them off, as it were. The wastegate should also be checked for correct operation.

You mentioned steerring pump. Slack the drive belt to the PAS pump. If the noise is not evident when that is done, then you have pinpointed the problem.

First take off the battery cables of the battery (disconnect it) and for safety even take the battery out, underneath you might have the protection panels which are easy to remove (usually mounted with few screws), remove the leads on the back of the starter but make sure you remember how they were as the replacement starter needs to be wired same, unbolt the starter and take it out.

The first thing you need to look for is a light that isn't shutting off. Could be your interior light, a trunk light, glove box, tail light etc. If no lights, could be your starter solenoid is not shutting off. Try disconnecting the battery while you are at work, and see if it starts after. ( if you can't find any lights that stay on)

try changing the fuel filter

I have a hood emblem from an '87 Supra in very good condition that may work for you. Have you looked on ebay?

no it cant be used sorry

Yes the heads are interchangable. Best way to find out if stuff is interchangable is to go to Toyota dealer and compare part #'s

your starter