No display, glowing indicator lights

2004 450ES, notices several weeks ago that the 4 indicator light across the top of panel glowed when machine key is on or running. could shift to reverse or neutral and light would get bright as they should. Later went to use it, would not start, weak battery. Purchased new battery from local Honda dealer, installed, lights still glow, now none of the display visible, mph, gear range, clock, etc. Machine started and ran fine. Now a week later, new battery dead, drained. Any ideas? Could voltage regulator mal-function cause this?