"To be for doing something" is a particularly Irish construction. It means that the person was about to do it, happy to do it, likely to do it, liable to do it, possibly was known for frequently doing it. My Irish ex-flatmate used to say "I'm for going out for a few drinks tonight. How about you?" She meant "I feel like going out for a few drinks this evening. Do you feel like doing the same?"
We use "in" because the "no parking area" is an area with boundaries, so the car would be "inside" that area.
Please look at the amendments I made to your post. When posting on the forum, please remember:
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