Could I 4 or 5 boxes on this laptop?

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Are you refering to the name on the account not the actual account name?

Cause you have to have a different account name on all of them but if my first name and last name is on all the accounts it should be ok?

For multiboxing, all accounts must have the same first and last name or you risk getting banned for account sharing. To be safe, all info (address, phone number, etc) should be identical.

Obviously, you can't have the same account name for multiple accounts!