Apple Care appears to have become Apple Care+.

Additionally, the window for purchasing it seems to have dropped from 12 months to 60 days from purchase. Is that correct?

I ask because I have been looking at one or two pre-owned MBPs on Trade Me but I am not touching them with a barge pole if I can't add Apple Care to them. At least one of them has a photo of the warranty screen which states that it is eligible  to extend the warranty despite the original purchase 12 months date expiring at the end of August.