Neville could only ever remember one password because it was to do with a plant - which he had.
In Harry Potter and the Philosopher's Stone he broke his wrist and had to sleep outside because he couldn't remember that the password was "pig snout".
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When they first arrived it was wattlebird. Harry and Ron had to get it from Hermione.
The known passwords in the 1991-1992 school year were Caput Draconis and Pig Snout.
Harry Potter told Neville Longbottom that Nagini had to die so Neville Longbottom decapitated her.
Neville Longbottom killed Nagani with the sword of Gryffindor.
If you're talking about Nagini then he cuts her head off with the Sword of Gryffindor. :)
Neville forgot the password to the common room.
Harry kills the basilisk and Neville kills nagini