I agree with Jessika for the most part. They do need toys and are at that teething age. But I'm betting that the reason they are acting like this is because they are bored, they need more interaction. Just because they have each other to play with doesn't mean that they are getting the exercise they really need.
I think you are dealing with a few different issues here, not just one.

Dogs are pack animals, you the people (owners) are the leaders of the pack. They need to be with you in order to learn the desired behavior.
Do they come inside at all?

They also need to learn their manners. I strongly suggest enrolling them into a reputable obedience class. Or even a consultation with a behaviorist.

Raising the same age puppies together can be a challenge thats for sure. I also believe that yes, they probably are trying to determine who is & will be the dominant one.

Did you get these 2 before or after Charlies passing?