hmm... That's weird that it is starting to come apart like that.. I don't have any personal experience with Airaid, I usually get K&N
for my cars.. Did you buy the filter new? If so how many miles does it have? I don't know about Airaid, but K&N has a "million mile warranty"
on their filters, so perhaps you can contact them and get a new one.... And IMO I wouldn't oil the filter... It just puts junk on your MAF sensor.
Everyone I know, and myself, just clean the Air Filter once a year, let it airdry, and throw it back on.