Dell N7010 Windows 7 Home Premium X64 Recovery Disks Serial Key

Hi, I have a Dell N7110 with a dead hard drive and no recovery media. I've looked on eBay for this particular version of windows and it seems I need to import it from the US as it seems to be unavailable in the UK. Would the OEM key work from the laptop if I download win 7 home premium 64 bit from a legitimate source and installed it on a new disk. Would Microsoft activate over the phone if I gave them the key?

Dell N7010 Windows 7 Home Premium X64 Recovery Disks Serial Key