the batt disconnect code will go away after a certain number of drive cycles.(unless your connections are no good an intermittently loose connection) then the code will be always present.

I wouldnt say computer issues as all your codes are really EVAP related.
the plus side is EVAP codes rarely cause any driveability issues, so you can fix em if you want lol

have you had the cas cap checked that it properly vents?

a smoke machine may be your only answer to find the leak