Yes
There is a large lot on the east side of the beach that’s usually empty. There is also a small usually crowded parking lot near Crabby Bills on the west side of the beach. Do not park near the Marina unless you have a boat/trailer, towing is strictly enforced, but there is a smaller partially shaded lot for cars there too however this lot fills quickly. In addition to these lots there is also parallel street side parking on the lake side of Lakeshore Dr. in designated areas.
Yes on the right side of street and by crabby bills.
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