My turn signals work fine tell I turn on the head lights. Then they just stay on when in left or right. No clicking sound at all. Turn the head lights back off and the turn signals work fine. Whats going on?

Sounds like a bad ground

Any idea where I should look? Head lights? Turn signals?

Probably on the core support, check the ground locations in your assembly manual.

Sorry, grounds for the parking light housings/bulb sockets.
When headlights are off, the parking lights get a "feed back" ground through the headlight filaments.

As a test, take a piece of flexible stranded wire, wrap it around the bulb base and hold the other end to a know good ground.

It was the ground on the headlight filaments. I reseated them and its working now.

One more question. When I have the left turn signal on the green light in the dash flashes but when I turn the right turn signal on it doesn't. How can I fix that?