Well I'm pretty sure the engine needs a rebuild, but more on that later. First, spark plug pictures. Rotor 1 first, then rotor 2. Leading is on left, trailing is on right.
So I'm not sure how to read those but I don't think it matters. They weren't wet or anything but you can see the white/brown build up.
Per some suggestions I pulled the EGI fuse, removed the radiator cap and had my wife crank the car with the throttle open. After a few bubbles the fluid level began to rise. After putting everything back together and driving around the block for a bit I noticed that I'm getting a good amount of bubbles coming out of the overflow tube into the overflow bottle. Occasionally there would be periods where some amount of coolant would come out of this tube. Additionally, the upper radiator hose is "hard" when the car is running. Right before I turned the car off the low coolant buzzer came on again. Correct me if I'm wrong, but this all seems to indicate at least a failed water seal and the combustion gases are partially pressurizing the cooling system.