Building a rook rifle is a great project, and the rifle is a delight to handle. I built one with two interchangeable barrels, for a client in Kansas who like you was concerned about overall weight. So I used a couple of Green Mountain A weight swamped barrels and cut them off at 28". That left me with a lovely light and perfectly tapered pair of barrels. IIRC, the breech end of the barrels was at least 7/8" and might have even been 15/16". With a rifle of this design, you're going to need the bigger breech to make it look right and balance well. I don't think a 13/16" barrel is going to give you that. Also, I used a Davis English pattern lock, and the filler piece that gets soldered to the side flat of the barrel just for'd of the breech snail.
Your first job is to take the parts you think you'd like to use, and make a drawing of the rifle in profile. Start by drawing the barrel on a piece of Bristol board paper then drawn in the breech plug, the lock, etc. until you have all of the parts in the correct relationship to each other. Then your questions about suitability will be answered.