overfeeding???

I am a FTM, my son is 2 weeks old, I breastfeed and pump. I had a c-section so my milk was delayed. In the past week my supply in each breast has doubled. My son will stay latched for at least a half an hour, fall asleep on the boob and then wake up 20 mins later hungry again. I will give him the other boob sometimes and other times I will give him pumped milk, sometimes I give him both. If I give him pumped milk it's 1 oz at a time, since he ate not too long ago, he will finish an oz and want more. I try everything to avoid feeding him more but he will start wailing so I give him more. He will drink 2 to 4 oz after being on either breast for at least a half and hour each boob. I am scared that he is eating too much. We go to the pedatritian today so I will discuss with him but I was hoping to get some insight from fellow breastfeeding moms.