the manual is right, first start engine 2 (right hand side) and then no1.
You got the APU up and running, and you can start the left engine but not the 2nd. So what's wrong here?
You obviously have pneumatic pressure to spool up the N2, and there is nothing wrong with the fuel supply (cutoff switch in idle) since you can fire up engine 1.
BUT...I can assure you that the culprit here is the isolation valve. It needs to be OPEN to let the bleed travel from the left duct (where the APU bleed air comes from) to the right. If the isolation valve is closed there is no way to get pneumatic pressure to initiate the startup sequence for engine 2.
So put the isolation valve in OPEN position, and then close it when both engines are up and running