I am not sure about parking, but while I was there, I saw one get nice gentleman in wheel chair. His legs were disabled. He had a very nice smile and so not easy to forget. Anyways, So, I am sure there is wheelchair path.
There are two parking spots for disabled people in the lower lot. There is a flat path out to the lighthouse and there are several accessible benches.
They have a handicapped parking area next to the main path around the area. You should be able to access the park with a wheelchair.
I believe there is a handicap parking area that allows you close access. Double check that as I am not 100% sure.
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