Maybe Oakley would accept that in lieu of an actual receipt?
It has to be an actual receipt.
Or if not, maybe the store they purchased it at could find a copy of the receipt based on the date of purchase.
This is your best bet. If it is an O-Store or Vault give them the exact date it was purchased, the total amount charged and the last four and expiration on the card used and they can reprint the receipt. (keep in mind this time of year they are very busy so it may take them a while to do it for you.)
I think I will call back and climb the ladder and see if I can get someone that can help.
If you did not have the battery changed by Oakley there is a good chance that this is the cause of your problem. Someone was not careful enough and messed up part of the movement. The movement is the most expensive part of the watch hence the high price tag for the repair as they will more than likely replace the entire movement (or possibly the whole watch)
If you are going to try and "clime the ladder" I would just remind you that you get a lot farther with Oakley using kind words and a good tone of voice. Being an ass and "raising hell" makes people less willing to break the rules and help you out. It helps to keep in mind that it is not the person on the phone who broke your watch it is the place that changed the battery.
If it was me, I would take it to the place that changed the battery, explain to the the date was working before they changed it now its not, and make them be responsible for the repair bill. If your going to "raise hell" with anyone that should be who its with.
If Oakley changed the battery, then yes the repair should be free no matter when you purchased the watch.