Maybe one of these days, Peter was going to opt for 'the island' as his first explanation for stuff like this. If he woke up being someone not Peter. He was going to prefer blaming people for everything whenever possible, thanks.

"Sure," Peter said, "You woke up and the island decided to switch out your face--" And then he blanched. "...Give me the mirror."

Please tell him his own face was still the same?