Steering wheel shakes, low RPM humming and rattle

I will start off with the steering wheel. Whenever I go above 60 miles an hour, my wheel shakes, around 70 it will calm down, and the same with 50. If it is not the steering wheel shaking, then usually the car seats shake a little.
The low RPM humming occurs when I am on the road. Around 1,200 to 1,300 rpms is when the engine starts to jump to about 1,400 to 1,500 rpms. After a second or third jump, the engine will audibly rattle with the climax of the jump.
When idle, the car will sound like a rattle lighter than that of the humming during driving.