Those bolt holes where the oil is coming out near the brake pedals go all the way through. That middle section is supposed to be dry, so a seal is leaking in there, most likely in the PTO clutch area.

I agree with John, the first thing I would do is see about raising the hydraulic oil level. Those pumps can whine, especially when they get worn. A worn pump will also make a lot of heat. Still, it could be an internal leak somewhere else that is letting oil out, and causing the pump to work constantly and building the heat. I'd try raising the level before tearing everything apart. I also wouldn't go any thicker than the hy-tran oil.

The brake is probably soaked with oil. It isn't too tough to fix, but you'll need to replace the seal on the bull pinion shaft that the brake discs ride on, or it is just going to leak again. Pulling the seal is easy enough, just get a drill, drill a couple of holes into the seal, then screw a sheet metal screw into the holes, and then grab the screws with a pair of vise grips and pry the seal out. Carefully drive the new one in and the leak should be fixed. Take the brake discs and clean them real good with carb cleaner or brake cleaner. You need to get them dried out for them to work correctly.

I see that the pipe and elbow look new coming out of the right front corner of the hydraulic unit. Is that just for pumping the hydraulics down, or was something else done in this area?