Getting a new PCB would cost me around 70 dollars (for a new hard drive), and that would be cheaper then having some one one look at it.

I have a degree in computer science and electrical engineering, but no experience with hard drives and how they work. I just want to see if I can have this fixed myself without going to some one or having it sent in for data recovery.

I feel there can be 3 problems, with the individual components. Either a bad PCB, seized motor or destroyed platters. If its a bad PCB, replace it with the exact model/make, seized motor - transplant it, destroyed platters... end game.

I just need some suggestions the symptoms I had described above.

Very very unlikely to be a bad PCB, in any case you will NOT be able to simply swap the PCB as this series have ABSOLUTELY UNIQUE data in the ROM on the board.

Much more likely to be seized motor, which will require pro intervention.

.1% chance is very generous, if you don't want to pay for professional service then forget about the data and bin the drive.

Apart from coating getting flaked, another commonly found problem with Seagate ST3750330AS hard drives is damage to the circuit board (PCBA) components. Hard drives in general are very vulnerable to overheating, power spikes and surges. The use of unstable power supply combined with power streak can lead to damaged or burn of the spindle motor controller driver (SMOOTH chip) on the circuit board. In this case the hard drive would not spin up at all, even when powered ON.

Yet it must be kept in mind that non-spinning of the hard drive can also result from a seized motor, apart from damaged PCBA. The Seagate ST3750330AS would make a buzzing sound as it tries to spin up. If the cause is a seized motor, data recovery will require a platter transplant from the bad drive into a working donor spindle in our class 100 clean room environment.