Earlier this morning I was driving down the highway at about 75mph. I noticed the tachometer jumping around and it landed at 0. At the same time the ABS & Parking Brake Lights came on and stayed on. Also, the heater stopped blowing as hard/forceful as it had been and the lights dimmed. I pulled to the side of the road and turned the car off. It has refused to start since then. I had the car towed back home. I'm now at a loss. When I try to start the car, there is a clicking and the lights in the car dim, but nothing else. This happened both when I tried the car by itself and when the tow driver tried to jump-start it. The battery is only showing 10.5 volts across both posts, but it had been running the 4-ways and the radio for about 90-minutes. There is still electric power for everything, but the response is slow and sluggish like the battery is dead. The only other thing is in the two pictures below, there's a ton of corrosion on the battery. I'm thinking alternator, but would that keep it from starting?

