Don't let the wheel slam up when releasing the lever as this loosens the mechanism. The knuckle the wheel pivots on is worn out.
This could be a number of items wrong. Typically, the steering column bolts break. There is a "knuckle" at the end, you should be able to look under the hood and see where it connects to. Or, your steering wheel could be loose. Either way, DO NOT DRIVE, until you have it figured out.
wiper motor or the bolts holding it tight.
What is wrong with the shower handle? Loose? Too tight? Leaking? Not working?
could be your ignition
It is possible the power steering fluid is low,or the belt is loose.
too much play in the steering wheel is from worn or damaged steering components. The things that could be wrong are this: worn or damaged upper/lower ball joints, worn or damaged power steering pump, Loose, worn, damaged, or faulty power steering control valve, Loose or worn power steering cylinder, Leaking, clogged or incorrectly installed power steering hose, Leaking, worn or damaged rack & pinion steering assembly, Loose, worn, or incorrectly adjusted steering gear or steering gear mounting bolts, Loose, worn or incorrectly adjusted tie rod end(s), Loose, worn, damaged, or improperly aligned centerlink or other steering component(s), Worn, damaged, seized or faulty kingbolt(kingpin), or a Worn pitman arm or other front end part(s). The most likely cause of the play in the wheel is the ball joints, the tie rod ends, or the pitman arm. Since the 92 and the 87 model are both 3rd gen, they MIGHT swap, but if both cars are that old, your best bet would be to just replace the old worn parts with new ones.
Air in the PS system, loose belt or a tired PS pump.
The two main possibilites are. (1)Brake caliper and/or brake hose. (2) Suspension/steering parts worn/loose
check everything your brake pedal is attached to sometimes the mounting bracket bolts come loose there for pedal wobles left to right Other then that yes there is nothing wrong with you brakes just pedal got one of the holding bolts loose sometimes you have to climb under dash board to get to brackets.
Is this automatic or manual
you have a possible pressure leak causing air in your system or check your belts tension
Could be loose exhaust pipe or bracket, loose top bushing on shock, or check top of air bag to make sure it is tight. Check all control arm bushings also.