How to get a new iTunes without losing my stuff on my iPhone

So When updating my phone last time My dad synced all our phones together and I discounted my phone from our cloud and then locked us all out of our itunes. Should have been an easy fix but I was 13 when I made our itunes account (now 18) and do NOT remember my answer for the security questions at all and therefore none of us can not get into our itunes and that means I have not been able to update my phone since September and its running so slow. I really wanna just get a new itunes account but I really don't want to lose any of my apps or pictures on my phone. Can someone please help me!