Hello PurpleHeys and welcome to fishlore~
Cherry barbs are very kewl looking fish and I can see why the interest in them. Good luck with them in your tank...
As far as the behavior of your fish I have a few ideas. It seems from what you tell me that it is very possible that you have one male and two females.
The more brightly colored red barb is most likely the dominate male and defending his territory. The other two or either both females, one being the smallest is a juvenile and not at the time a real threat or interest to the male, or a juvenile male.
The other barb is most likely a female that is not a threat to the male and is why he will tolerate its coming over to his side from time to time.
Barbs do like to be in groups but I do not believe you should have more than the three in your ten gal as it is.
If there are no real injuries my guess is that they will have to work it out amongst themselves, learning what side of the tank to stay on and when to get out of the males way!

You can also try putting some of your plants into clumps that the smallest one can sort of hide behind if it gets bothered.

~ kate