Always suspected Bontrager to be junk pushed by Trek. Just marketing.
You can't ride marketing, and lots of folks have ridden these wheels with no problems. There's not a single wheel company that doesn't have problems from time to time. The difference is Trek will handle the warranty quickly and without delay. Mavic can take weeks. Some companies, months.
I've yet to have a single problem with a Race-X-Lite or above. Not one. And we sell lots. Bottom line? Trek will handle it, and the OP will be back on the road with a minimum of hassle. If he was near me, I'd handle it personally and put him on a loaner wheel while he waits for the replacement to arrive.
Good luck dealing with this claim and let us know how it turns out. I know you're 'young', but let this be a lesson that you can't toss out receipts so lightly.
Receipt doesn't matter with Trek if he's dealing with the shop that sold the bike. Trek knows where all it's serial numbers go. As a matter of fact, nowhere on the online warranty form from Trek is there mention of receipt. Mavic would require a receipt and refuse to do anything until the wheel had been returned to them for "evaluation".
I can tell you in advance, unless his shop is populated by brain-dead boogerheads, all will turn out just fine.