No problem! I went to the wikipedia article you linked and didn't see any mention of the video rental records, so I got curious and tried to look it up and couldn't find anything until I looked up the privacy act, which led me to Bork. That was the only reason I was curious how the two were mistaken as I am not knowledgeable in the slightest about these things. I just like to trek down the rabbit holes others provide and try to pay it forward with any corrections I stumble upon.
Slight correction; it was not John Tower (and I'm curious how you mistook the two), it was Robert Bork. He was nominated for the Supreme Court by Ronald Reagan. His video rental history was obtained by Michael Dolan. His nomination was rejected by the Senate, but it wasn't necessarily over his video rental history because the videos he rented were entirely unremarkable. However, it brought up questions of privacy and resulted in the Video Privacy Protection Act of 1988.
EDIT: I should add that accessing his video rental history was used as an example and a counter to Bork's own anti-privacy position, which is probably the real reason his nomination was rejected (although I can't say for sure since I'm no expert in this stuff and this all happened before I was even born)
You'll find the info at the following link under the "U.S. Supreme Court Nomination" section:
So thanks for the rabbit hole!