To get Badge of the Day:
Install 2 Apocalypse Cannons and a Remote Missile, then you use all the upgrade points (you got 19 at each tower) to reduce cooldown and increase hp.... when there's a huge amount of enemies on the screen you activave the apocalypse cannon... Against the last ship, I still got the 2 apocalypses with half HP.
 "Battle for Darkness"){kind=icon}
 "StormWinds 1.5"){kind=icon}
 "Monster Arena"){kind=icon}