Unless your dealer used it for something else, there should be a small pipe sticking out the side of the lift box. It's about 1/2" pipe, comes out about 2 inches, then makes a 90 degree bend, and is capped off (or might have a QD connector). That's one place, but you have to turn a hex head valve to direct flow to that pipe. While flow is going to that pipe, it will not be going to the loader and rear lift.
If the rear lift speed is as slow and reluctant as the loader, then your original diagnosis of "weak pump" is likely accurate. You have not mentioned visible leaks anywhere, but have you perhaps noticed low fluid level in the lift box? If yes, does it correspond with unexpected higher levels of gear oil in the rea end? With the hydraulic dipstick out, can you see air bubbles in the fluid when operating the lift/loader?
About the 15W40, it's your choice. Personally, I wouldn't even think of leaving it in there. If it hasn't already, it will emulsify soon.
//greg//