There are a few things you might want to carry.
- A spare, single-blade paddle, just in case.
- Some 5-minute epoxy, for small punctures.
- Duct tape.
While I've been reasonably careful with my own boat, I have had a few mishaps. I've run aground on a gravel bar, banged into 'strainers' in the river, hung up the bow on a rock, and filled the boat with water. The worst that any of these accidents did was crack the hardware store polyurethane paint job. I am certain that the two-part poly we use now is much tougher. Even with a cracked coating, the fabric is tight enough that it did not leak. I patched the crack with duct tape, which has since fallen off - no problems.
I'm thinking about making a more attractive patch by cutting out a decorative shape on canvas and gluing it on with polyurethane.
Obviously, this is the bare minimum. I usually have a 'thwart bag', with the above plus water, GPS ( I'm a geek, what can I say ), and a camera in a waterproof pouch.