Scott - the codes may be for the pins in that tumbler, but at any rate, any good locksmith can make keys to fit the tumbler you have - around here it's 5-10$
and yes you can put the keyed handle on the other side, and prolly even get the locksmith to change the other tumbler to match the key you do have so you don't hafta use 2 keys - the guys in my area do it alla time
Bill