According to the Energy Star chart, 12,000 BTUs will cool a room of 450 up to 550 square feet. I'd stay on the low end of that.
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1500 sq ft.
Yes
It depends on where it is. In my house, the answer is Zero.
The air conditioner requires power. Power comes from the engine which burns gas. So not only are you powering the vehicle down the road, you are powering the air conditioning unit also.
A 5,000 t0 7,000 BTU should cool it nicely. If there is no insulation, maybe lean toward the 7,000