I visited Fort Point State Park today to watch the sunrise. I last visited Fort Point in August with my son to watch seals (https://welcome.hikingmaine.org/2019/08/seal-watching-at-fort-point-state-park.html). It was significantly warmer at that time.
The main road leading into the park is closed in the winter so to access the park you can use the alternative parking lot located at the end of Lighthouse Road.
The park provides excellent views of the water, forested trails, a pier, a beach area (very strong currents), a historic fort and a lighthouse.
Here is a map of my hike.