WinHTTP is set to manual and running for me as well. I restarted it, and then tried to start the print spooler service again, but no luck (same "dependency" error). As for drivers from Brother, I...

Also, my printer is a Brother MFC-240c

Thanks so much for the reply! When I checked services.msc, I found that print spooler was set to automatic. However, when I tried to start the service, I got this error:
44566

I right clicked...

For some reason, my printer doesn't show up in applications such as Microsoft Word or Libre Office, although I'm sure that it's connected properly to the computer because it still lets me scan...