Thanks for all of your advice, I just got back from a great trip that included my visit to Sandusky/ Cedar Point.
The Station is very nice actually, clean restrooms, and indoor sitting area. It was open when our Lake Shore arrived approx. 1 and 1/2 hours late. We just waited about 30 minutes and had a bus take us from the station to Cedar Point. The bus service was great.
I would like to add to the fact that taxi service is VERY unreliable. We had arranged a taxi to take us back to the station, and it did not show. After calling numerous companies, we finally did get a cab to the station, but we barely made our train (only because it had lost more time). We had wished that we had allowed more time.
While the area may not be the best part of Sandusky, I felt very safe there, even at 1:45 AM before the Capitols arrival.