My old boy (at least 4, probably much older as we adopted him full grown) absolutely becomes much more "selfish" during his molt. Some molts are worse than others and I doubt every rooster does this, but I have one that certainly does. He goes back to wooing the ladies once he's made it through, so my guess is yours will, too.
I'd set up a secondary feed and water spot so he can't bully as much/competition is less, and maybe feed him a little egg solo for a protein boost.
That doesn't really address his attitude with the babies, but my rooster also tries to "chase off" babies of a certain age, especially the cockerels. My solution is more space, as in nature he definitely is supposed to drive away his sons to form their own flocks, and I don't think they are trying to hang on to pullets when they already have a breeding age flock of hens to provide resources for.