Kitty says, "What is it with you young people and Colombo?" because the guys are all wearing trench coats. But Colombo didn't wear a trench coat, just a plain, single-breasted rain coat.
The camera used to take a picture in slow motion after Red starts asking President Ford a question and looks back at Eric is clearly not from the 1970s. It's a digital camera that seems like it got its start in the mid 1990s at the earliest.