My boss asked me fix this sweater and I agreed because I've never repaired and thought it would be a learning experience but I have no idea where to start or even what this stitch is and how to do it.. please help.. it's all much appreciated
Welcome to knittinghelp! I have never repaired any knit items, either. Here is a link to a tutorial:
Reknitting small hole
I would use a solid, white surface under the knitted item to be able see the stitching better.
Hope this helps!