I guess it depends on which side their bread they think is buttered. I see Bar and Grill, and I tend to suppose that the food is an afterthought. As to the alcohol, the Bible implies caution to be on the abstemious side, so not everyone is on the lookout for a restaurant whose main selling point is not food.
No. It's a "Bed and Breakfast" because that is what it has been called for over a century.
No. It's a "Bar and Grill" or its just a "Restaurant". Calling it a "Grill and Bar" is just plain stupid.