It buzzes when engine is not on, just key-on? Very odd. "new" relays can be bad, but usually the 109 either clicks with key-on or doesn't.
The only buzzing I had was with bad grounds (or battery, fixed both at the same time).
I'd go to basics to start - make sure the battery is properly hooked up, clean and tight cables, make sure they are properly fastened on both ends. Clean and tighten the grounds - don't know where you've got them with the conversion.
Trying a third 109 should eliminate that small possibility.