I doesn’t matter than much. Just remember that bees use energy to keep brood warm. They have to keep it at a constant 34C (approx), so you will save them a lot of work if all of the brood is together on adjacent frames. In a healthy hive, the brood tends to make a kind of rugby ball shape (elliptical pattern) across the frames. This is energy-efficient for the bees to keep warm and fed. If you break the brood up, they will take a lot more energy to care for it, and you risk getting chalkbrood from chilled brood.
I agree with @JeffH, by the way, if the queen is doing a good job, you don’t need BIAS. Emerging capped brood would be more helpful. They don’t have to feed it, so that helps the colony.
I might do that, unless they are pulling foundation on one side for a reason. Like it is warmer because that side of the hive gets more sun. In that case, I might just put one empty frame next to the “warm wall”, because the warmth might be helping them to keep the brood warm too. In a very active hive, I hate having empty frames next to the wall - my bees routinely use that as an excuse to get creative with their comb.
Yes, and yes. Excellent idea if you have a hive which is healthy and can spare it, especially if this weak colony doesn’t have much food.
Sounds like you have a really good plan!