Yes, that is, if you (I'm assuming you are referring to yourself as the married person) have decided to use your husband's surname. Remember that a married female has the option to use either her maiden name or her spouse's surname; hindi naman kasi requirement na magpalit ng surname after getting married. Minsan nakaka-complicate pa iyan.
But to answer your question: YES
And during the renewal itself, ipapa-confirm naman iyong data/info.
Ask ko lang, nagpa-sked ka na? When did you do it and what's the earliest schedule that was available?