Here is an interesting article that talks about why you should avoid giving your child screen time when they are upset to help calm down.
As a busy working mom to three boys myself, I often feel the mom guilt when I feel like I don't have enough time to play with them. And even when I do play with them it doesn't feel like enough time. I once asked my best friend who is a medical doctor how much time should I be playing with my kids and she said all the time. I was shocked! How am I supposed to get dishes or laundry done or dinner cooked?!? Here is a great article with some great solutions to having play time with your kids.