Welcome to parenthood, I think its part of it :)
I was the same way When I had my son, I couldn't sleep, just watching over him... It will get better with time... Just try to sleep as much as you can, that will help with the anxiety...
Ohh yeah I was the same way. Lol its hard for the first month or two. I think I relaxed a little when he started to hold his head up more on his own. Just made me feel like he was a little less fragile..
I had post partum anxiety with my first daughter it was crazy i was constently freaking out thinking she wasnt ok i thought anything and everything i did was somehow going to harm her i never slept my poor hubby didnt know what to do i would yell at him for everything from holding her a certain way to putting her in her car seat to early before we went out!! It got so bad i had to be put on anxiety meds for about 3 months!!! By the time she was 6 months old i was finally 100% over the servere anxiety!!!! With ur first ur always going to worry its natural there the little love of ur life but it does get better!!