I assume the Analog Lab you talk about is the one that come with the Controller.
It's not the same code, but the hardware give you access to Analog Lab.
But i don't know if seller have ever used the codes. If so, then seller should have the code, but you say it's lost, and that's what's puzzles me.
All codes shall be tranfered to you somehow. If seller does'nt unregistrer both, then you will not get the rights as you can't use the same code or get a new code for Analog Lab, as seller then will have the siftware for free. ALso you might need to registrer the controller to get any support at all. It can't be registred on 2 accounts. The controller could even be stolen if so.
That's how i believe it is.