"Wait, was that the same footage?" is a reference to a practice where "B Roll" was often looped to save production costs in the 70's.
Burt Reynolds exhibits many references to his past performances, particularly comedy car chase movies such as "The Cannonball Run" and "Smokey and the Bandit." In particular, in addition to the aforementioned stunts, there is his trademark laugh as he drives away.
According to Adam Reed, Burt Reynolds actually helped write this episode by making suggestions for changes and writing more jokes. Originally, it was "more gushy about Burt Reynolds." Apparently Reynolds suggested more self-deprecating elements in the script and "made it better."
The Cuban hit squad pursuing Archer uses a photo of him from the episode "Honeypot", causing them to mistakenly identify him as Ray Gillette, although a Cuban hit squad also made contact with him in "Diversity Hire" when he was wearing a disguise that much more closely reflected his actual appearance.