Some vehicles do have a "user test" function, that involves adding or removing air in a tire one at a time, and the car signals with a short horn response or something similar. It would be in your owner's manual if it has it. I'm not overly familiar with Nissan, so I can't say for sure.
And, the cat has been blinking for several years now. Even I forget it does that until you end up looking at it steady for a few seconds.