No
No, but on major holiday weekends they start up. Check park website. Until April 1, 2018 major road construction ongoing at entrance to park in Springdale Utah.
No. Check the park service web site for details about when they run.
If you plan on going to the left side of the park where most of the hikes are located, get up to that section before 9am. While we were there in December, the Park Rangers were closing it off by 9ish due to too many cars and it didn't open back up until 2pm.
No. You'll pay $30.00 vehicle entry fee, and that covers your entry for a week.
No. You can drive by yourself though, which is better.
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