If you look on the internet hard enough you can find them. Best not to point or write them down here lest you get your post removed or worse, cause the comment section to shut down. I am pretty sure that every time youre forced to play around with the vault there IS a password that works, even on the first try where there literally is no clues. Let's just say that first password makes the game a little more spicey, so good luck with trying to find it!!! As for the other passwords hopefully rely on your memory. There are clues as the passwords are actually specifically mentioned in the text (except the first 2 and the 1 in the art); You just have to read every word and see if something rings a bell.
I like Tyson too. Out of the whole group, romancing him seems to be the most obvious choice given the history they had.