Dropped the car seat

So I was up literally all night with my 3week old newborn who wanted to eat and be held all night long. I’m so tired at two in the afternoon I’m still in my pajamastrying to get my baby to sleep while whooshing the three barking dogs . I finally get my son to sleep strap him into his car seat and in my pajamas non brushed hair I drive up to Starbucks I get home with my coffee he’s still asleep so I decided to leave him strapped I. And bring the car seat inside well to avoid having to make two trips to the car and avoid talking to the neighbors who are outside I grab the car seat my wallet keys phone and coffee and I dropped the damn car seat with my baby inside it he started wailing so I pick it up and continue inside he settled and was falling back asleep by the time I got the front door unlocked. Am I a terrible mom? I feel so embarrassed the neighbors saw the whole thing and I’m a young mom (19) so I can’t help to think that they all snickering outside thinking I’m an awful mom to.