I close early on Halloween at 5pm instead of 6pm, as well I close at 12pm on Christmas eve. Both of these are in my contract and I get regular rate for those two days. I dont charge for vaction or last minute closures. For the last minute ones I refund (or rather charge one less day, for next payment). I dont have a half day rate.
If it were me I would just close for the day, it will make it less confusing pay wise, and give you a morning off before a busy day.

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