I need to put the caret mark over the e in Renee. How do I do that?
You don't. There are no circumflex accents in that name.
You want an acute accent: Ctrl-' (apostrophe) e.
If you ever do need a circumflex accent, it's Ctrl-Shift-6 (caret)
followed by the vowel.
(And, to round out the French accents, Ctrl-` for the grave, Ctrl-
Shift-: (colon) for the dieresis, and Ctrl-, (comma) for the cedilla.)