XiaoBaiTu XiaoBaiTu XiaoBaitu: cruise trip question

XiaoBaiTu,

I am planning on a cruise trip which will make two stops in Mexcio and then come back.

I am on EAD and have advance parole. Do I need to take my I-94 with me? Which I-94 is needed, my last entry I-94 or my last H-1 94?(my H1 has expired).

Thanks a lot!