Hello, Your description of the problem you are having sounds like a bad crankcase valve. It is located on the back of the intake manifold. It makes a humming noise. It also makes the car have poor driveability, misfire and shake. I suggest you have the crankcase pressure checked to verify that this is the problem. The keyword that points to this problem is the humming noise.
If this information was helpful please hit accept. Thanks, Nick
ASE Certified Technician
Over 25 years of experience in automotive computer systems. ASE L1 Cerfification