No Crank No Start

I have a 98 civic coupe with the good ol' d16y8 VTEC. When I go to start the car all I hear is a click, I was able to bump start the car so I know it runs fine. Few things to note first, I have a code for the ELD (electric load detector) and my alternator overcharges my battery. A few weeks prior I had to get my car jumped after filling the gas tank so I has assumed I just needed to jump the car again. Used a DMM and the battery was at 13.4 volts so it surely didn't need a jump or a charge. Also I've tried jumping it for giggles and Sh*ts but nothing worked. I'd guess that I blew a fuse but would I even hear a click if a fuse went bad? I'd assume there to be no power at all to the starter. I tried looking at wiring diagrams to see which fuses I should check but I couldn't find anything useful. I tried jumping the neutral safety switch with a paper clip and that did nothing. Last thing I noticed was the female spade terminal that runs into the starter was a little loose, I can pull it out pretty easily, i'm assuming this is the starter solenoid which seems to be a common issue. What fuses should I check under the dash if any? if I run a dmm from the battery to that female spade at the starter can I test for voltage drop or that spade terminal for something else. Any help is appreciated, thanks.