G.H.
I recently got bit by bed bugs while at a resort in Disney World. They do itch like crazy and the more you scratch the bigger and redder they get. The bites wouldn't be in just one area though. Typically on arms, legs, ankles. Also there would be little tiny black specks on the sheets, that is their feces, this is a huge indicator for bed bugs.
Maybe they are flea bites or spider bites?