The private eye Boulder is a parody of the rich private eye Amos Burke in the crime drama Burke's Law.
The car is based on the Rolls-Royce automobile which was an English car manufactured from 1914. It was the embodiment of luxury and craftsmanship for the wealthy and celebrities, due to its expense and individually hand-crafted workmanship.
When Barney gets up from the lounge chair, he's not wearing a shirt. In the next shot, he's wearing his trademark brown outfit.