Is there a big parking lot?

Yes, parking lot is large plus it is in a shopping strip with a theater so there is oodles of parking nearby if their lot is somehow filled

I've gone there at peak times of the day and always more than enough parking.

Yes should be more parking than they have seat's

It's a shared parking lot so can get a bit full bit you'll most likely find parking (just not that close to the door)

Yes

Yes, it's fairly big.