Tactics affects the hit chance. I'm not sure whether it shows how much it affects it though. But if tactics ISN'T shown, then you should actually be hitting more times than shown.
The medium badge is kind of stupid since you can get through the whole game without a 20-slot bag and there's better things to spend your money on like crafting books.
Hard badge takes about 15 tries. To get it: avoid the gunner bosses, if just one touches you, insta-death. Spin around really quickly. You will eventually be cornered, in this case you have to crash into the thinnest clump That's basically all there is to it.