Take a drive down the Kenai Peninsula, which is a spectacular trip. Seward is a good trip to do if you'd like to do some cruises to see wildlife and what's left of the glaciers. Not sure what things are like this time of year. If you're in to winter sports, Aleyaska Ski Resort is also in the area. A lot of folks do fishing trips in the area if that's your jam. A trip to Denali is a 4-ish hour drive to see the mountain and plenty of wildlife. That's how I'd spend my time given your length of stay!
Have fun!