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technically you have to register the wallet where the eos erc20 tokens are stored before June

yes, although Binance, BitShares and some other exchanges will do it automatically for you.
BUT, I suggest you do it nevertheless.

Hey, yes you do have to register them so you will get the real EOS tokens when the platform is launched.

It looks scary at first but it's quite simple, just google how to register them and you'll be fine.

On https://eoscountdown.com/ you can check if your account is registered. Enter your public key and it will tell you if you're fine. If you do register your ether account where you hold the tokens than make shure to safely store your private key so you can get to your tokens once they are released.

After june all erc20 tokens will be frozen on the blockchain i believe, so they will basically become worthless.

yes to receive air drops