Jay Treaty Border Crossing with a DWI??

My boyfriend just got arrested for a DWI a few days ago. We were supposed to be heading up to the rez again soon- our rez is in Canada and we live in NY. We were both born in the states but are Haudenosaunee. He meets the 50% blood quantum for the Jay Treaty but I know Canada is tricky with that- they do recognize it to a point since I cross all the time using only my status card but my auntie told me once he’s convicted of the DWI he won’t be allowed to cross anymore. This doesn’t seem right to me! We want to go to the Mohawk longhouse together (Canadian side of the border) instead of the Seneca one here state side. Can they and will they still deny him entry because of the DWI, even for ceremonial purposes and being First Nations?