I would probably mark you as an experienced beginner. Don't worry about it. This is only your 4th lesson, you shouldn't be so concerned about your position.
The "fold" is when your hip closes over the jump. Your hip should still be open at 2 point and as you hold that position, the horse will rise up beneath you. Your legs should obsorb the motion and you're hip will close. You will know if it doesn't, because the landing will pop you out of the saddle.
In order for you to really "feel", you need to go higher so the horse has more motion. Right now it looks like they put you on a mount who has very little motion at all and thats because you are a beginner at this. They need to build your confidence and anchor before they put you on anything else.
A good exercise to do by yourself (or maybe suggest it to your instructor) would be "winged victory into 2point". Try it on a horse at the halt first. Do winged victory without the reins, and close your hip into 2point, then back up to winged victory.
"Winged Victory" is an exercise where you stand up in your stirrups with your leg, hip, shoulders and head in alignment and remained balanced there. In order to remain balanced, you have to be in perfect alignment. When you figure this out, you keep your legs the same and simply "fold" at the hips into 2point. You are doing 2point correctly when you can remained balanced without the use of your arms propping you up.
This exercise can be done at a halt, or at the walk, trot or canter and its a pretty good exercise if you want to "feel" the close your hip needs over a jump without actually jumping higher.
The open and close in your hip in 2point is the next step.
And those who were seen dancing were thought to be insane by those who could not hear the music