Heck yes. Tons, and at good rates. Search Millbrook, NY and/or 12545 and you will see many houses listed on Air BNB within a good distance of the church -- some even right in the middle of the village (though you will still need a car to get to the ceremony etc.). I can't post active links on this part of this page but you can cut and paste the following: https://www.airbnb.com/s/Millbrook--NY-12545--United-States/homes
There is one gas station with 2 pumps in the Village of Millbrook at the base of Franklin Avenue, which is the town's main street (Millbrook Auto Care - 3260 Franklin Ave). There are several more just outside of the Village. 5 minutes east, along Rte 44, there are three stations around the intersection of Rte 44 and Rte 82. The best prices are at the Mobil station (2480 Rte 44; 845-677-2216)
If you are renting an AirBNB, then you definitely need to buy some food and other essentials. The Village of Millbrook has an IGA supermarket called Marona's located at 32 Front St, Millbrook, NY 12545 (stone's throw from the gas station). The store is open from 8AM until 7PM, daily. If you are going to be in the area for a while and need to do some serious food shopping, there is a great Adams Fairacre market 20 minutes from Millbrook at 765 Dutchess Turnpike, Poughkeepsie NY 12603.
It depends. It's not the boonies, but it is the country. Coverage is spotty. Period. Verizon has the best coverage in the area (by far) but still do not expect to have service everywhere. If you are driving, we highly recommend you have a seperate GPS unit for the car.
So many. I'll put together a list soon, though...