OK - have played around a bit.
It works just fine added to my own test page here:
contact.php
I tried taking out some of the PHP in the other page to see if I could figure out what it was clashing with.
Nothing gave.
So I tried adding a second form at the top of the page, and that made them both appear, so that was progress.
I've now gotten as far as having the one I want. However, when I paste in something from word, its chopping off some of it on the left hand side.
All a bit odd!