Reach a human: claudiu.sararu@gmail.com. Brewmancer is made by one person, so there is no ticket system and no support desk. Say what happened and what you expected instead, and you will get a real answer, usually within a couple of days.
Open the Brewmancer Pro screen (via Settings, or by tapping a locked expedition) and tap Restore purchases. That asks the App Store again on this device. The purchase belongs to the Apple Account that bought it, so make sure the device is signed in to that same account.
Purchases are handled by Apple, and so are refunds. Go to reportaproblem.apple.com, sign in with the Apple Account that made the purchase, and select it. We never see your payment details and cannot issue the refund ourselves.
Leaderboards run on Apple's Game Center, which is optional. Check that you are signed in to Game Center in the iOS Settings app, and remember that only Normal difficulty runs are ranked; Easy runs are for practice and stay on your device. Scores earned offline are submitted the next time the game is online.
Force-quit and reopen it first. If that fails, restart the device; if it still fails, delete and reinstall — your Brewmancer Pro purchase is restored free with the button above, though local best scores and watched cinematics are removed with the app. Then write in and say what device and iOS version you have, so it can be fixed for everyone.
Settings → Anonymous usage data. Turning it off stops all collection and deletes the random identifier, as described in the Privacy Policy.