Future armor upgrade not only gives +100% hp, but makes your allies immune to red bullets, so try the hard badge after you got that. It will be pretty easy, but a little time consuming.
There is a shop option when you pause. I was like, "Nice! I can upgrade in the middle of the flight, but then i exited the shop and restarted from the bottom -.-.
i didn't get both badges when i ran over 50mph, i even tried to refresh. Then i quit to the menu and clicked colored mode, and guess what, i got both badges!