Here's how to get the hard badge: Get at least 3,350 starting cash. Upgrade the ship once, and get a level 4 flag and treasure chest. When you have $1,500, upgrade the ship and buy a level 3 flag. Then upgrade the ship again and get a level 4 cannon (you should be up to the third boss at this point). Then get the final upgrade to the ship and buy level 3 firing speed. You should have: lvl 7 weapon, lvl 8 firing rate, lvl 4 speed, and lvl 8 loot and magnet. + if it helped
Here's a way to get a lot of infamy fast. Max out Summon, Goblin HP, and Raid Infamy Gained. Go to the first level and send out ONLY goblins. Use the Heal spell if you have it. You'll get more than 15 raids and around 1000 infamy in two minutes. Rate this up for other players.
Knight: "Oh, look. There's a giant trebuchet with bombs attached to it aiming for our castle. Should I go warn the king? Nah, I'm sure it won't even hit the castle." "Hmm, the bombs completely crushed the castle. Should I run away? Nah, I'm sure everyone is okay. I should keep guarding it." "Oh, boy. there's a giant bomb heading toward me. Should I move out of its way? No, maybe a wizard will come by and blast it to bits."