What zone are you in?
What is the square footage of the house?
What size condensing unit do you have?
Where is the air handler installed?
Where are the supply ducts in these rooms in relation to the doors?
How high are the ceilings?
House foundation slab or off-grade?
I'll answer the ones I can:
1) What's a zone? Do you mean climate zone? If so, I'm in central Arkansas
3) I believe we have either a 4 or 5-ton unit, I'll check to be sure. We've had an HVAC guy tell us in the past that it's the right size for our house, FWIW
4) In the attic
5/6) The ceilings are vaulted, and about 12 to 14 feet high at the peak. The supply vents are about halfway up the "triangle" side of the vaultings. Not sure that makes sense - I can take a pic if needed. They're probably....6 to 8 feet from the doors
7) Slab foundation