There are no dumb questions. Background activity does not block all background activity. E-mail pushing/fetching or low signal (has to do with cell phone reception and/or data reception 3G/4G). I don't understand why you mention low signal together with messages and mail. Low reception has to do with bad signal for calling or data (e.g. 3G/4G).
Regarding e-mail: do you have fetch then enabled? If so what is the frequency? I have it set to fetch once an hour and that doesn't use much background activity.
Please check
my complete list of settings to save battery/background activity. Did you already look at your GPS/location settings?