The AE86 it the best corolla car out there. There is an SR5 And a GTS. Fun and gas efficient. Year 1984-1987
It could be the crap tires you have, rotation might be needed? or is it when you start to brake and it pulls you to the side?
Cadillac will actually put you at ease.
It all depends on the model year, engine size and part of the country that you live. As an example the new 5.7L engines use 0. viscosity oil while the others size engines use a much heaver weight.
Stingers.