Im 13 years old. Im going downhill fast?

Hi. I am a 13 year old boy. I'm 5'6" and 113lbs. Please read this and help if you can.

I started this journey 5 months ago. I then weighed 137 lbs. For the first month i still ate the same, i just threw in some healthy foods. I also started excercising in wrestling practice and i noticed i had dropped to 127! I hadnt even tried to lose weight! Me and my mom were both happy because we knew i used to be a bit heavy.

The next month i continued to do this but i started cutting out bad food. My weight dropped from 127 to 124 in one week, then the next i dropped to 120. Me and my mom decided this was a good weight and that i shouldnt lose any more.

Month 3 was when it started getting bad. I had taken up counting calories and i set my limit to 1800. I thought counting calories would be "fun" (dont ask) and i enjoyed it for about a week. I would get about 1100 calories from my daily meals and then at night i would fill in the remaining 700 calories with snacks. I started reading online weight loss articles for "fun". I decided since i didnt need all of those snacks at night that i would lower my caloric intake to 1600. I wasnt weighing myself because wrestling season was over.

It keeps going downhill. I lower my calorie intake to 1400 and i try hard to stop counting calories (stress) and i am now going to the gym 3 times a week with my dad. I will only eat certain foods and i check the label of EVERYTHING. I have found a new website that i can look up nutrition on every food that i eat. I usually dont eat when we go out.

Month 5. The worst. I lower my calorie intake to 1100, regardless of starvation mode. I start counting calories. I have noticed a dramatic change in my energy level and at how cold i am. I now eat 900 calories daily. Yesterday and today i have binged. Today i skipped dinner because of my binge. I also tried to purge. I weigh myself every day and i am at 113. My parents and i fear that i have anorexia. Please help. I dont want this to ruin my life. Thanks..