As Tony said a couple posts back, get a manual!
The control linkage for the lift is complex. A picture tells a much better story. The fact that it moved slightly forward and back is good, that's all it's supposed to do. If there is rust accumulated around the upper linkage, it can interfere with it's operation. The only way to really free everything up is to pull the top cover and disassemble it. Not hard to do, but heavy!
But first, open the right inspection cover and test/cycle the control valve. Once in there, you will see where the control linkage pushes on the valve roller linkage. You can push the roller to the side and unhook it from the control lever. Cycle the spring loaded valve back and forth several times to dislodge anything that may be in the valve. Start it up,look in the case with a flashlight and see where the moving parts are. Being EXTREMELY careful, reach in and move the roller lever forward and the lift should go up. Let it return and it should go down.
If this test is successful, the valve in the pump is good. If this is not successful, the pump will need to be pulled to service the valve.
If the valve tests good,reconnect the lever to the roller and try the controls.
If it still malfunctions, there is an adjustment nut below the roller, but again, a manual will explain much more than I can here.
Back to the water in the transmission... That is a common problem. If stored outdoors, it will get in around the shifter boots AND around the upper draft link, where the upper link of the three point connects. There is a rubber boot under the seat that rots away.
Again, be careful reaching in the transmission with it running! There are moving parts in there, even in neutral!