get a hold of the faa and request your last 8710; also if you had a previous medical that can back up your time added after the 8710.

best way to store your time other than your log is to make copies of the last inputs and have them notarize.

I feel your pain somewhat, jetblue lost my humongous luggage and my laptop, all i got was $35 voucher for the next flight I take with them. (learned my lesson)