Not sure I understand it, if I receive byte and blackbyte in the first round, why I can't be sent the two on the second round? Why I need to "register" my address? If let's say I did not move the byte and blackbyte received.
What is needed to receive blackbytes are your BB address and your device address, this one is only known for linked (registered) BB addresses. So if all your bytes are available on linked BB addresses, then you don't have to do anything. If you have bytes on not linked BB addresses, then to receive blackbytes (for the bytes you'll receive in the second round), either link those addresses or move their bytes to your linked addresses.
If the bytes are on the addresses you linked in the first round, then you have nothing to do. To be sure, ask the bot and check the addresses it replies and their balances.