The first thing to mention here, is that you restored the computer from a ghosted image, was this a AMD 64 machine you ghosted from?
As if not, I'm surpirsed it worked at all.
My recommendation to you, would be to install fresh the new box.
If this is not an alternative, the way forward, would be to get all the appropriate 64bit drivers (important point) for the devices in the machine, and install them one at a time.
The problem,with the wireless adaptor, maybe that there is not a suitable 64 bit driver for the device in question. Some of these devices may work with there 32bit (x86) conterparts, but some will not work at all, hence explaining the system instabilities you had.
Any questions, let me know.
best regards,