No, they don't. It's an older motel, sort of like the splendid motor courts of decades ago.
Try it it...you'll be back.
Yes, our room had a patio. It was room #16.
Not to my knowledge.
The some rooms have patio/terrace and others have balcony. Our room was on the first floor and we had a chair so we could sit in front of our door.
Get an answer from Butterfly Grove Inn staff and past guests.