Launch app periodically with Automator

I don't have any version of Final Cut, but from the MacScripter search results it appears like at least the older versions weren't scriptable. Anyway, have you looked at its AppleScript dictionary (by e.g. dropping its icon on AppleScript Editor)?

Would it be possible to just copy a template file instead of creating a new project? If so, if you saved a script like this as /usr/bin/fcpp and ran chmod +x /usr/bin/fcpp, you could create a new project with fcpp Project name.

#!/bin/bash

mkdir -p ~/Projects/"$*"
cp -r ~/Documents/Test.fcpx ~/"Projects/$*/$*.fcpx"
open ~/"Projects/$*/$*.fcpx"

I don't know how well it would work, but you could try running something like this in AppleScript Editor.

repeat
    tell application "System Events" to tell process "Safari"
        set p to properties of UI elements of UI elements
        delay 10
        if properties of UI elements of UI elements is p then
            set frontmost to true
            keystroke "r" using command down
            --return
            delay 20
        end if
    end tell
end repeat