My 90 only has one battery but it has to be a bigger battery then the ones fitted to dual battery models. I've never had any issues with any lights glowing when they shouldn't, first thing to check is if it's charging properly, it should be over 14.5V on tickover once the glow plugs have gone out. Next thing is check all the earths including things like rear light and brake light earths, it's surprising how one fault will affect something else.
One problem I do have is the alarm seems to discharge the battery at an alarming rate if I don't use the car very often. I often lock it on the key so the alarm doesn't set in which case the battery doesn't drain at all.