Yes. They both have their own legal licenses, but yes, they are the same versions.
Yes; there are macros around that will convert them. I tried one macro, and my copy of WORD wouldn't open the ".docx" document until I manually renamed it to the original ".doc" name.
Everything works fine on the laptop, though.
I checked and ran ccleaner, Vipre anti-virus, malwarebytes, Rkill, hitman pro, but came back clean.