I dunno if its possible but maybe you shorted something along the lines
of the starter. Did you check the fusepanel?
When I was messin with the shiftlight, my room light fuse blew. Word of
advice: Always disconnect negative battery cable before workin with any
of the electricals.
The buzzing sound is coming from some relay, just get it to buz, open the fuze box and then feel which one is vibrating or buzzing, that’s the one u have to plug out/replace.