Shooting by moonlight and taking photo's of the moon

So a couple of friends and I went out to the surf beach at Bribie Island last night to take some pics - I ended up having to shoot in night landscape mode as I couldn't get my settings right - pointers would be greatly appreciated - particularly around how to get the moon clear without it looking like a 'sun'.
Here's a selection of my 'auto mode' shots - no PP, straight off the camera.



TIA
Linda
Here's a selection of my 'auto mode' shots - no PP, straight off the camera.



TIA
Linda