I currently have 8 barred rock and 3 Rhode Island reds. They were hatched in February and all but 1 is laying. I would like to add 4 more chickens to the flock. Our coop is 5x10 with a 10x10 run. The chickens free range most of the time and only use the coop to sleep and lay. Would this be ok even though it's a little small?? They have plenty of room to roost.
To be blunt.....No, most likely not.
You are maxed out (maybe more than) space wise in both coop and run.
Integrating new birds takes
extra space.
Free ranging can help, but coop size is really the limiter,
.....and run size become critical too after that first catastrophic predator event when you have to keep the in the run for day so weeks.
What is your climate? Putting your location in your profile can help folks give better answers/suggestions.
If this is your first year with chickens, I strongly suggest you keep things as they are until at least next year.
Getting thru that first year, and especially the first winter, can be a steep learning curve.
Oh, and....Welcome to BYC!
ETA:
Read up on integration..... BYC advanced search>titles only>
integration
This is good place to start reading:
https://www.backyardchickens.com/a/adding-to-your-flock
Consider medical quarantine:
BYC Medical Quarantine Article
Poultry Biosecurity
BYC 'medical quarantine' search