In a negative sentence, the past tense marker UA changes to I as above - i hā'awe.
'A'ole au i 'ike i kēia! MAHALO NUI LOA!!!
Lawe should also be correct. According to Pukui-Elbert dictionary, carry is one meaning of lawe.
Why is this not "He DOES not carry ..."? Are there rules for using the past tense? And if so, where would you place an "ua" - or why wouldn't you?