My starter went out too. Is this related? I'm 90% sure it's coming from that thing. Or from the battery. But it's a continuous buzzing sound

 

Someone swapped in an aftermarket electric fuel pump. Not starter related.

 

There's a buzzing sound that I have not heard before, it started this week. And my starter won't kick in. Do you know what that is? The sound is coming from that area

 

Electric fuel pumps may well make clicking/buzzing noises.

Starter, well, starters wear out.
That being said, one test you can do is to check if it's the solenoid/key-switch or lockout:
Short the two larger terminals together on the relay on the passenger's side fender well.
You should see a relay/solenoid sitting there, with three terminals - two large and one small on top. One of the large terminals will have a bunch of heavy wires, including one from the battery. The other should have a medium black wire. Short the two terminals with a screwdriver and the engine should crank(make sure it's in neutral/park before doing this). If it does, it's a wiring issue. If not, it may well be a worn-out starter.