Barclays directed me to call Hawaiian. After being routed through the call-tree I ended up talking to a guy who said I should pick between the two numbers so I picked the one on the card rather than my old one, and he said he would merge over the old information. About a minute later when I logged into the new # my name and address stuff was there along with my old miles.
Not sure about trip history, I don't know where to check for that.