Within the Air Force, what is the official stance or policy when it comes to "corrective training" to deal with problem airmen E-1 to E-4?

Bring back the cat-o-nine tails and give them a good flogging!

You only have two problems with people...behavior problems and character problems. Behavior problems are usually accidents with no premeditation...character problems are bad choices someone actually had time to think about and chose to do them anyway. I'd find a way to rid the military of character problems...you'll spend 99% of your time on them. You can fix behavior problems with a LOC ... sometimes less.

SSgt- As a 1st Sgt and a Branch Chief there is always a target painted on your back. I have been both. You make judgement calls but you do not ignore a problem. You should have by now picked up on plenty of how not to do. Apply what you have learned from good and bad leaders. Just don't do what the bad ones do. Your style of leadership will come out and you will do fine. Congratulations also.