We have a mixed flock which includes the types you have. No problems from the RIR, but our Barred Rock is a pill. Our BOs have been neither one way or another. Leghorns are just plain flighty and not really friendly in any sense. So really, each bird is going to be a little different. However, we have about a dozen or so EEs and the Wheatons are all very docile to the point of being bullied. Every one of the EE wheatons have been that way (about 10ish birds). You may have to separate them if you have any in your flock.
Roosters need to be watched closely. Our bantam cochin (all of 7 inches tall) would corner our 8 year old on the porch whenever he was out.