There is no such thing as certificates in the US. In India, when you trade you get an email from NSDL. In the US, you don't get/ask for the same thing. You may refer here for confirmation from the SEC: ...
You can use the ‘Profit and Loss Statement’ feature available in Profile → US Stocks to get details of your realized and unrealized profit and loss for any period you wish, including the previous year
You may email us at kyc@vestedfinance.co with a proof of the updated details (pdf/jpeg of the original government ID where the details are changed) so that we can take a look and make the necessary changes to your account.