I have a few tokens on my old account that I want to convert to bnet balance. Do I have to reactivate my account for 1 month just to log on and convert them?

Submit a ticket

if you have them on a lvl 20 char or lower u can loginto them with out activating your account if not ask for a couple free days they will usualy give you 2-3 days some times even longer for free

Correct, just got 24 hours from them to get my token