Shaking at speed is one or more of the following:
unbalanced wheels
bent rim
ball joints
control arm bushings
Rear wheel bearings will whine at speed, sound will change when turning (loads or unloads bearing). Common for cars of this age. Difficult job, send it to a shop, special tools & expertise required. If yo lift wheel off ground & it can be moved due to a worn bearing, it is long gone, replace immediately.