Marantz 4070 transformer hum & static electricity everywhere

[redondo2018]

Picked up a Marantz 4070 last week and it has a couple of issues that I'm guessing are all at least somewhat related. Right now I'm using it as a pre-amp to an Adcom GFA-555, which goes to a pair of Infinity CS-3006 (which is why I need the Adcom because the speakers really need 100wpc at least) and the only other component is a Thorens TD-145 that doesn't have a ground wire. Here's what's happening:

1. The transformer has a high pitched hum. I just tightened down the screws on top of the transformer (which were a bit loose) and it seems to have helped a bit.
2. There is static electricity on the 4070, the Adcom and the Thorens. Right now I have all 3 plugged directly into the wall sockets. They are all 2 prong. I'm guessing this is bad, but I've never had this issue with other components until I added the 4070.
3. There is a low hum in the headphone jacks (front and rear) but no hum through the speakers.

The 4070 and the Thorens are on one wood shelf (but which is held together by a metal frame), and the Adcom is on another shelf. I am not using the "Chassis Ground" on the 4070.

So... I need to ground this better right? Or is it a DC offset issue? Should I put all plugs into a standard surge protector? Some other wire between components? Also, is there a way to further dampen the transformer hum (I don't care that it makes it, I just don't want to hear it frankly). The 4070 has the faux-metal cover, not wood btw. Sorry for the electricity 101 questions but I've had a hard time finding an answer to this through searches. Thanks in advance!!

 

[Dingman]

Have you tried flipping the 4070 plug?
Also, there isn't a ground, it's just a neutral that's bonded to ground back at your panel (assuming you are in the USA and have a distribution panel that is up to code).
It is possible that a "ground" has failed, it can cause the case to feel a little shocky.
I'm not familiar with the 4070 but those items do apply, no doubt.