Isn't this park closed, at least to car traffic?

Looks good. I agree with this change, it matches street signs.

Thank you, I was struggling to get these relations right.

The source lists the building types.

Thanks, Wasn't sure how to fix this.

I see that it's not an official name, so maybe there's a better tag, or not name needed.

That's what is is called. At least, when I was in High School, we called it the "track shed"