Ps4 Problem?

So, today I just received a package in the mail containing the ps4 that I have purchased. I decided to ditch my ps3 and hook this baby up to my tv. Once I linked everything with my previous account and such I noticed that everytime I pressed any button or moved the analog stick it would have a short delay. So I TRIED to text my friend and ask him if he had the same problem because he has a ps4 aswell. Not only did the brand new controller that came in the package have trouble even connecting to my ps4 whilst being plugged in but it seemed to even cause problems with my brand new earbuds that I tried using. Does anyone know why the hell this problem is occurring?