The Crickets are Jerry Allison(he co-wrote Peggy Sue with Buddy Holly),Sonny Curtis(he wrote dozens of hits such as"I fought the Law"and"More than I can say")...he's the guy who wrote and sang"Love is all around" on the Mary Tyler Moore Show...the other guy is Jerry Naylor who was a regular on the "Shindig" TV series.
Wasn't the plot where the GOTB wanted the Beatles to perform by the beach but couldn't due to the fact that it was all a practical joke? This would be perfect on my MST3K/RT wishlist.