Your 2 hydraulic tasks are not mutually compatible. Either the plow lift will be fast in the extreme, or the log splitter will be slow in the extreme. Unfortunately, there is no middle ground for a compromise that will in any way be acceptable. The plow lift with a 2" cylinder requires no more than 3 gpm flow and even a small 3" cylinder for a splitter will be not fast with twice that flow, and it won't be very strong. A FEL is barely compatible with a splitter, but again, the splitter will be slow. I run a 3.5" cylinder with my loader's 6 gpm hydraulics system and know that it works, as long as you're not in a hurry or run into hard to split blocks.
A loader is not a good plan for a lawn tractor. It can be made to work, but the rear end and the front axle are at severe risk. Breakage is a given. For the loader on my GT, I have half again as much in counterweight as what your tractor weighs.
As to where to add a pump, most engines have a provision on the flywheel to add a stub shaft and pulley for driving attachments. My GT drives the transmission and the rear PTO from such a shaft. I'm not sure how easy it will be to fab one up for your B&S.
For an implement lift hydraulic system, a GM power steering pump with a remote reservoir works well and doesn't use a lot of space.
A loader is not a good plan for a lawn tractor. It can be made to work, but the rear end and the front axle are at severe risk. Breakage is a given. For the loader on my GT, I have half again as much in counterweight as what your tractor weighs.
As to where to add a pump, most engines have a provision on the flywheel to add a stub shaft and pulley for driving attachments. My GT drives the transmission and the rear PTO from such a shaft. I'm not sure how easy it will be to fab one up for your B&S.
For an implement lift hydraulic system, a GM power steering pump with a remote reservoir works well and doesn't use a lot of space.