I wouldn't worry about the first issue, although Microsoft certainly should
be worried about it because they want that process to be effective and at
present believe that it is. You would be doing them a big favor by
persisting in the checking process including calling a phone number if
that's offered in the course of trying to get through the check. They even
have a program in the UK which offers folks who discover they are running
pirated copies of windows legal copies if they fully detail the
circumstances by which they acquired the one they have--don't know all the
details, but it is a fair offer, in return for some effort. I'm not
suggesting your copy isn't legit--I've seen known legal copies that fail
this test myself, although I tend to blame my eyesight trying to read the
darn numbers off the tag while crawling under a desk!
There's been a rash of posts with your second error just in the last few
days. What part of the world are you in? One theory that I have about them
is that there is a bad copy (bad in the sense of corrupted, rather than
malicious) in a cache somewhere--perhaps a Microsoft server, or perhaps an
ISP's caching server, which is at the root of these errors.
The only previous respondent I've heard back from was in Australia, as I
recall.
If you have a method to acquire the download via a different
route--different ISP for example, I'd love to see whether that solves this.