The spelling Carol is used.
It is an English name and most likely has no Irish Gaelic form.
Zoe has no translation in Irish
No Irish language version of the name.
Bree is an Irish Gaelic loan name in Italian.Specifically, the name is a feminine proper noun. It originates in the Irish Gaelic word brigh for "exalted one, high one" or "power". The pronunciation will be "bree" in Italian.
In Scottish Gaelic: Uilleagan; Irish Gaelic is Liam
In Irish it's "Ailís"
The Irish Gaelic version is Nóra, the Scottish Gaelic Nòra presumably.
You need to specify Irish Gaelic or Scottish Gaelic: they are two separate languages.
There is no special spelling of the name in Irish or Scottish Gaelic: it would be the same as in English.
In Irish Gaelic the native name Traolach (Munster), Toiríolach (Connacht), Tarlach (Ulster) is equated with Terence.
In Irish it's "Ó'Ciaráin" (masculine), and "Ní Chiaráin" (feminine).
It's not an Irish name so it has no meaning in Irish.