Urgh, what a nightmare.
If I were in your situation, I'd offer to do a new medical. It's probably quicker than waiting for them to send an intern down to the mailroom to glance at envelopes while he picks his nose (this is how I envision the inner workings of the CIC anyway).
I would do it in response to the email you received, and write urgent in the tagline.
As much as it would be great to give them the telling off they totally deserve, or to have them find the medicals that you already paid for, this just might be the quickest route.
I hope this gets sorted quickly for you.