Honestly it sounds like they mixed up some power wires on the fuse panel. The cooling fan fuse is located there and if that fuse was not getting power, it would cause the A/C to not work. The starter cable is also near where the work was done. Sometimes the main power cable to the starter corrodes and falls off the battery terminal post.
I agree with Ken that the cables at and around the fuse block must be checked again. There are also some ground points underneath the battery tray that are notorious for causing problems. A simple remove and clean will fix any issues with those.
Tuesday, September 25th, 2018 AT 5:32 PM