Originally Posted by
C17PSGR
OP has separate tickets to those issues largely don't apply.
The separate tickets apparently start at PHX. The JFK-PHX segment was part of the ticket from the EU. As an EU originating passenger the OP is due EC261 duty of care (at the very least) until the final destination on that ticket so until he gets to PHX, which sounds like they were going to follow by offering him a hotel at JFK.