For those of the Christian faith, there's a wide range of local pastors who can officiate, covering most common denominations. For those of the Jewish faith, a local branch of Chabad Lubavitch hosts a visiting rabbi.
To obtain a copy of your marriage certificate, you will need to inform your marriage officer and complete the necessary forms. A copy will then be sent to your home address.
There is no provision for marriages to be registered in the persons' home country, as records are kept in the Turks and Caicos Islands.