What happens if Sinn Féin and DUP tie? Who becomes Forst Minister and who becomes Deputy First Minister?
I would assume that the DUP would gain the First Minister slot, as they had slightly more first preference votes. Although, I believe the assembly has to approve a joint ticket for First Minister and deputy First Minister, otherwise it's direct rule for Northern Ireland again. I'm not sure if Sinn Fein and the DUP could come to an agreement over who gets the First Minister slot in the event of a tie (despite the dFM role having the same responsibilities).
I would say that it's probably going to be a DUP lead of one seat by the end of this election though.
If the process worked like in Scotland or Wales, it would probably be a Sinn Fein First Minister - given the position and seats of the other parties.