OK, looks like you do have the right 2-line base and I assume your new handset is also a Becom 1 with LINE 1 and LINE 2 as the two top leftmost buttons. Did you make sure and unplug the BeoLine , wait 2 seconds, and plug it again? The BeoLine should flash red for a couple of minutes, signaling open to registration. Try two things:
1. Technically, you should be able to REGISTER BASE even without first removing the new handset's previous base (Beocom 6000, for instance, can register to more than 1 base).
2. Did you try AUTO REGISTER?
Good luck,