When it comes to your bridge pickup, if it was a replacement dimarzio then it won't say it on the face. You might want to pop the pick guard out and see what it says on the back. It should say Dimarzio USA.
As for the buzzing if you touch the bridge and it stops then it's probably the ground. If it still does it, make sure the ground wire on the spring claw is secure... if it is, try a couple different cables. Those barrel Jack's tend to act weird when they start to wear out. I have a barrel jack in my 540r that hates my monster cable... But the magomi cable works great. It has something to do with the shape of the tip of the cable. Here's a diagram for a jem. It should be the same. At least all the satch guitars I've been around seem to be wired the same way.
Depending on how it was stored, you may have some dirty electronics. Though from the look of it... It seems pretty damn clean. Nice looking Jem! I've always wanted a 90th HAM JS.
As for the buzzing if you touch the bridge and it stops then it's probably the ground. If it still does it, make sure the ground wire on the spring claw is secure... if it is, try a couple different cables. Those barrel Jack's tend to act weird when they start to wear out. I have a barrel jack in my 540r that hates my monster cable... But the magomi cable works great. It has something to do with the shape of the tip of the cable. Here's a diagram for a jem. It should be the same. At least all the satch guitars I've been around seem to be wired the same way.
Depending on how it was stored, you may have some dirty electronics. Though from the look of it... It seems pretty damn clean. Nice looking Jem! I've always wanted a 90th HAM JS.