Regarding the badges, does one receive anything for them or they just for the sake of having them?

Just "visual" and allows others to quickly understand more about you.

and OceanPlanet:
Can one earn Hive there?

Not yet, but since you win/mine their token (CRYPTEX) in the game, later on, you might be able to sell or reuse... this game is partnered with https://www.cryptex24.io/registration?ref=f0d3c55a where I believe the token will be "firstly" allowed to be traded from within the game (this me speculating).

Currently you can only mine and enjoy the development progress. Also join the discord channel for more info. There is a channel for the game. https://discord.gg/5BhEE9H

Note: I am using the ref link (and thanks for using it) but I am not sure what it enables you to at the moment. Might be something to consider for later. And if it's a referral, I thought it would be nice to use it because it would show people that there is one... hence making the message clear that there is a referral system to be considered.