I just realized that both photos use the same kind of joke – the “cigarettes” are a joke bubblegum brand, the “gun” is an old toy from the Buck Rogers show.
Well-regarded but enigmatic detective opens a new office, gets threatened into accepting an old case he initially refused, is tasked with finding the whereabouts of a wealthy heiress who went missing years before:
OH and the theme song is this jazz arrangement of ‘In The Hall of The Mountain King’ by @rhapsody-in-blues (which I think should be titled ‘In the Jazz Hall of the Mountain King’):