The name "Linda Taylor" references two popular singers of the 1970s - Linda Ronstadt and James Taylor. The line about Linda being "romantically linked with a senator" is an allusion to similar gossip about Ronstadt at the time.
The character of Linda Taylor may have been based on Linda Ronstadt, who was very popular at the time. The reference to her dating a senator may have been a nod towards Ronstadt's much-publicized relationship around this time with then California Governor Jerry Brown.
Les asks Linda Taylor if she heard of Snooky Lanson. Lanson (real name Roy Landman) was a vocalist who sang with bandleader Ray Noble and was on television as one of the stars of Your Hit Parade, which means that his heyday was in the 1940's and 1950's, roughly when Taylor would have been born.
Les' bandage is on his left hand.