Can I just send this off and have it analyzed? Or is this like a racing/corporate thing?
Not sure what you mean by 'racing / corporate thing'? They do analyze their used motor oil far more often than normal people do, goes with the territory.
You don't send off your used oil filter - no way to put a lid on it (yet ...).
When you drain your oil from the pan, get some of that into the cup they provide, then screw on the lid, then mail it off to them.
They'll analyze both the oil, AND whatever they find in the oil.
They'll let you know what's normal, what's getting old, and if anything's out of the ordinary.
(Personally I'd prefer draining the used oil out of the filter into the sample container, 'cause I'm a pessimist.)