there was one way that i used to be able to tell that they were inside out, they aren't rounded when you sit them on your finger, they're kinda.. i dunno how to explain it, edge off?
if they irritate your eyes like that maybe they're not clean.
have you got monthlies or dailies?
dailies personally, are heaps better because when they irritate you can just throw em away and get a new pair, where as if monthly ones are annoying your eyes you can easily get an infection.. and its not nice (not that i've had one and i've been wearing dailies since i was 12).
so yeah maybe they're not clean.
if they're inside out they usually just irritate your eye, not make em tear.