I am not sure what you are referring to as “slide valve” but assume you want to add a “spool valve” as you show in diagram two. Further I assume that you want to use the new valve to control top and tilt cylinders for three point implements. And that you will not have the backhoe mounted when you need to use the new valve (the backhoe valve is also removed when you remove the backhoe.
If any of these are bad assumptions, then some of this will need modification.
Your diagram is correct in that the pump takes oil out of the sump and supplies flow to a block on the tractor. The block has three connections, a supply of flow out to the pressure port of a valve, a flow return point from the valve and a low pressure port for flow out of the active cylinder.
If nothing is connected to that block the pump flow goes directly to the three point hitch and then dumps back to sump.
The system is open center so fluid flows through the valves in series. Nothing but the tank return lines can be teed together.
So since you already have a front end loader and a back hoe the flow becomes pump to block P out port, to FEL valve P in, through the FEL valve, out the Power Beyond (PB) port, to the backhoe P in on the valve, through the valve, out the PB port and back to the tractor block, into the 3PH valve and back to the sump.
The FEL and backhoe valve will have a T tank return port that goes to the tractor block T port and dumps into the sump.
When you remove the backhoe you connect the P in line to the PB out hose so the flow path is the same just not through the backhoe valve.
So to add another valve you can connect the PB out of the backhoe to the P in on the new valve. Then the PB out of the new valve is connected to the hose that had been connected to the backhoe PB out port. Then the tank return line from new valve gets teed into a tank return line that already exists. If the backhoe is removed you can simply use the new valve in place of the backhoe valve.
Hope that makes sense but you may want to search posts by
@TheOldHokie on adding “rear remotes”