What kind of luck are Hanako and Botan getting in the opening?
Neither of them are traditional omikuji results. Hanako has "hazure", which translates roughly as "miss" or "fail". Botan's is "sune", which I can't find a useful meaning for. "Sune" is Japanese for shin, or leg, and the only other meaning I can find is in reference to being a shin-biting bug, which is slang for being a mooch, which doesn't seem to fit.

EDIT: In episode 3, Botan does shout out "sune!" when her shin cracks, although she also breaks about three other bones in the same episode so I'm not sure why the shin would be singled out.