Patients are generally not started on insulin pumps when their diabetes is not under control, in fact in people your age (normally a little younger like 15-17) getting a pump can actually be a reward for maintaining their insulin regime.
As hard as it is, you are diabetic and at the moment, nothing can ever change that. So forgetting a dose is something you should try not to do. The more insulin doses you forget and the more non-compliant you are, you do become insulin resistive and I dare say thats what is going on now, if your sugars are running high, but you are taking the correct insulin its because you have recently been DKA and not taking your insulin, it will take your body awhile to get back to the gist of things.
Wearing a pump is pretty easy, it easily slips into pockets or inbetween boobs if you are wearing a dress.
Hopefully once you get your sugars undercontrol and your doctors are sure you will remain compliant you will be able to get switched to a pump. They are great little devices, much easier than needling every day, in my opinion any way. I'd wait til you go back in four months, get back on the needling regime, once your doctor sees you can cope and are compliant, I am sure he/she will be more accepting to putting you on a pump.