Take the first shot to the middle left over the red ramp, wiggling your ball in the halfpipe to capture as many gold eggs as possible, then landing as far left on the conveyor to guarantee the ball landing where you can 'influence' it into the shortcut hole. Then aim for the hole.
For your second shot, chip into the conveyor that aims high onto a secret platform with nine golden eggs, then drop down and follow the conveyor around the C shape picking up eggs if you can. Then it should climb into a small path that reaches round to the green. Use this entry point to circle around and grab all the eggs in the spiral.
For the third shot you need to aim slightly right and gently descend underneath and manoeuvre around to the end. If you can get into the hole with this shot you should be over 4000 points.