If you've got a less common last name, I think you should use that. A local computer repair/LAN center is named Goodman's (Also has Computer & Repair after) but it lets people know who is the owner, which I think would give you some more credibility/respect.
Regardless of what you name it, just make sure to get a good local base for computer repair because that is where most of your money will come from. The LAN would likely help with power bills and such but I doubt it would give you any sort of profit (from an accounting standpoint).