I was wondering, what kinds of lights does a kayak really need if I wanted to paddle at night?

small white LED light on yourself not the boat. Look on vendors sites they have them.

so, all i need is a head lamp?

Legally speaking yes that is all that is required of a sea kayak by COLREGS the international regulations to prevent collisions at sea. Rule 25 requires that vessels propelled by oars only need to show a white light in time to avoid collision.

As someone that has spent a lot of time on the water at night both commercial and recreational I would add that showing running lights and a stern light gives other vessels on the water a better chance to determine the direction of your travel, the type of boat you are in plus the possibility of being seen and avoided before you would feel threatened enough to show your "flareup light"

Mikekayak

I use an LED deck-mounted (suction cup) light right behind me. (Where it doesn't interfere with my night vision). Mine is made by Paddlers Supply. It stands 8 or 10 inches above the deck and is exceptionally bright- can be seen for quite a distance.

For a headlamp I use a waterproof one from Underwater Kinetics. A bit bulky, but truly waterproof and bright.

I also have SOLAS reflective tape mounted around the cockpit and on the paddle. It works incredibly well.

I got the Navi-light which works great.