I`ll try to help you with some ideas my fellow KB player

1) Nice leadership, and stats for 13lvl mage. try getting more mana and high magic to at least lvl 2, you`ll need much double trap, or stone skin/magic spring spell combos. But as you said 63 battles no loss won, but still only 13 lvl it`s a bit low.
2) In might try to get Onslaught 1 lvl for initiative bonus, and training to 1 lvl until you kill some more dragons. Mind skills Adrenaline 1 lvl for some luck with bonus initiative on 1 unit, and after that slowly go Absolute balance (you already took Learning/Scouting glory 3rd lvl maybe could w8 for later, because now you have more lds then units available

). Magic as i said Higher magic for more double casting, and try to get 2nd lvl Distortion then Chaos to strenghten your main spells trap/stone skin/fireball ... If you too Alchemy to 3rd lvl it was a mistake, but not to bad. later in game you`ll have bunch of low lvl items that you dont use and can destroy with Neatness skill to extract lots of magic crystals, so alchemy skill only 1 lvl is enough for almost every game just to get to skills after it.
3) Army : drop priests and royal thorns, they are now only on half lds and not enough to be of any real use. Take 1 archmage, and 2 rune mages. Go back to Debir return stone (use it first before returning, right click on it in hero screen and you`ll get 50lds for free)when you finish stones quest you get more lds and some new units but main thing is to replace army now royal thorns are on 40% of max lds not good for dmg or summoning meat shields and your Summoner skill is on 1st lvl so no much bonus there either. Rune mages will replace them as summon and will get you additional resurrecting unit with nice destruction ray and % to cast debuff on enemy on normal attack, also before finishing battles you`ll be able to keep some weak enemy unit and use their summon ability that will give you copy of you`r inquisitors for more ressing and free rage.
I say only 1 archmage, because only 1 is enough for now, spam his magic shield and on rest attack enemy but dont use battle mage before you lvl up guardian medal. 1 archmage have same shock% as 1000 of them so no need for more and bigger difference your/enemy army in leadership is more exp your pet dragon will get. So for now 1 archmage, 2 runemages(you`ll be able to lead 2 after stone quest), and see in shops on Verona is there some other kind of dragons to fill instead 1 EGD, or replace royal griffins with new kind of dragons 2 red would be great (they lower each other moral

) Also check Tower of Eventus and try to get there to 2/3rd lvl to see what spells are available and composition of Caretaker hero units.
4) Pet dragon : stop lvling push (it`s enough for using it to kick on trap) and mystic egg (take it if choice is wall, or push but lds% and lvl of units dont lvlup it`s pure lds). Try to get lightning ball it will help allot with those big 3-4lvl enemy stacks. And some dragon dive, it`s useful on item battles vs towers, but keep in mind your rage pool.
5) Keep those Ancient knowledge scrolls for boss fights, and enemy heroes above 40lvl. Now battles give you up to 1500-2500 exp, later on Reha/Nameless/Shetera islands you`ll get 20.000+ exp pet battle so there ancient knowledge will work great, but keep in mind that it works for 5 battles in row so dont use it and then fight 1 tough battle, and then upgrade some 1st lvl item or go to other island at fight weak/same strenght enemy. Try to use 1 of those scrolls and go 5 tough battles in a row to take as much as possible more exp from it. So keep them to late game
http://forum.1cpublishing.eu/showthr...ht=white+night check part of first post here about using AK scrolls, there you see exp gain from every high lvl enemy hero/boss with AK used.
All in all, go back to Debir replace army, try getting pet dragon on new exp path, save AK scrolls for later.
If get stuck somewhere ask, and help will be on the way

Have fun.