First of all let me say that my dog who is growling in his sleep and I, a retired electrician can help a little bit, for what is worth, but obviously you can go back to your electrician again.
First of all, if you want to understand some of these codes more clearly, use youtube search function or google. Watch the videos on evaporative emissions controls and you will know quickly all you need to know on that subject. That vent control solenoid circuit is running to the solenoid mounted on or near your fuel tank . The solenoid could be bad, the wire harness could be damaged, a connector could be corroded near the solenoid. Codes are clues, not diagnoses.
The above answers by rawvortec are right on.
One other thing, do your self a favor. Don't jump modern vehicles Charge up the battery or replace. Jump starting when the battery is dead can blow out things like that nicely rebuilt gauge cluster. Modern electronics like your home computer doesn't like big sparks at all. It introduces Huge amounts of electrical noise into that sensitive "hoe" that you want to start up and run reliably.
Good luck!