Haven't been to Alaska on the Star but.....
Get to the shows about half hour before start. Seats fill rapidly.
The hot tubs deck 16 aft, I believe, are is a great place to hang out. There is a pool there also.
Just out the doors of the Horizon Court aft is another pool area. But there is a protected area that is just perfect for morning coffee and wake watching, only place better is on your balcony!