From what you have described and watching the video, the battery is not delivering enough juice to turn the engine over. Try charging it completely with a charger tonight. Make sure you have the battery contacts cleaned out thoroughly. Another very important failure point is the negative ground connection. Make sure the grounding point and the cable is nicely secure and free of dirt.
For the brake issue, I would first check the rotor visually first, and then by touch. When you "feel" the rotor, try to check for any surface imperfections. Next check the brake pads for wear. If these two check out OK, you need to advance to the caliper itself.
Just my two cents, as I am an amateur just like you. Hopefully, more wisely friends will comment soon.