No, that was simply oversight. I probably forgot at least one or two other programs. Princeton has an extremely good classics program – definitely top 5, in my book.
Yes, definitely. Any of these would be a great pick. UGA has a very good classics program and also a very strong linguistics program.
That said, be aware that classics graduate programs are horrendously competitive. It’s becoming increasingly common (if not the norm!) for successful PhD applicants to have completed a MA at one of the feeder programs in Canada (Alberta, UBC, UVic, etc.) or the US (Arizona, FSU, Kansas, etc.), so the route may be a somewhat long one.