I would be in favour of a seasonal winter pass, say $50-60, something that can be left on the dash/window of the vehicle, this would allow early access if they don't have "pay as you go machines" like they do in some other parks.
As for the requirement to plow the lots, can't really point fingers there, a couple of times it was so bad, it was near impossible to "find" the parking lots for the amount of snow. Turf damage, probably from those that go bee lining from the parking lots directly out to the ice, low end IQ I guess.
Then they should also ding those that park willy nilly along both sides of the roadways in the park beside the skating rinks, couple of times it was so bad you could barely get through the main route. I could almost hear banjos playing in the background.