It does sound like you have a grounding problem. But, for obvious reasons (like being here not there) there is not much we can do – you probably need to find someone who knows stuff.
If touching the TF's case makes noises, this suggests that it is not grounded – you should check the cables going to it, and make sure that there is continuity between the shells of the jacks at each end.
There is obviously a teeny chance that you have a bad unit, but bad cables or inappropriate connections are much more likely.
