Alhumdulillah doing well
I hope that you are keeping well
Yes you are right there are the conditions for the one who can lead the prayers in tauzeehul masayel and other books and no doubt akhlaqiyat and good behaviours are also condition which called adalat.
Aadil means the ind who performs wajibaat and refrains from Haram or forbidden act.
Imam Ali as he said in Nahjul Balagha it message for every leader