i agree with what's been said so far
- 12.1 volts is too low, battery sounds like it's own the way out, battery should be at 12.6 to 12.8 at rest (after a normal driving for several hours, without huge loads, and then vehicle turned off for a couple hours)
- with your vehicle running and no real load, you may get 13.6 to 14.5 volts depending on the manufacturer, all will charge your battery, but lower voltages will take longer. at 1000 RPM, i would expect closer to 14 volts (often idle conditions don't really put out the full alternator potential)
- you have a fair voltage drop at your receptacle, definitely check all connections and replace with appropriate gauge wire. remember you can just run to a GOOD frame ground rather than use a ground wire back to the source, but make sure the connection is good by checking the resistance between your proposed grounding location and the battery negative terminal. should be close to 1 ohm.
refer to a table like this for correct wire size, but always go one size up when in doubt is my personal rule of thumb:
http://www.engineeringtoolbox.com/amps-wire-gauge-d_730.html
- sears employees come in all IQ levels, the ones telling you that you need a special charger in your car are full of guano, furthermore telling you that 12.1v resting state is "full charge" also qualifies as dung shoveling.
- also keep in mind that if you've been only doing a lot of short trips and running your fridge, you may have not given your battery proper time to charge. every start is hard on the battery and takes a little time to recover, then if you run a fridge or other accessories a lot without doing longer trips that allow time to charge the battery fully, you might get the results you have mentioned. i would have sears or someone put the battery on an overnight charge to get it back to proper level, fix your fridge connection low voltage issues, then monitor your driving habits and how the battery goes - if you're not being hard on it and it ends up at 12.1 resting voltage again after a few days, replace it.