No a buyer badge looks like a red icon with white text in it (see my profile https://themeforest.net/user/charlie4282)
If you definitely purchased a file from here using this account then you should be able to:
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go to www.themeforest.net/downloads (assuming you are logged in)
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the file should be there
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click ‘download’ button
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choose “license certificate and purchase code”
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in there will be the purchase code you would need to register with the author for support
If you don;t see all this in your acocunt then you definitely have not purchased any files from this acocunt and would need to speak to support.