In both continuities Jason grew from a teenager to a young adult, he is older.
RHATO never said anything about healing factor or magical powers thanks to the Lazarus Pit. Maybe he has powers of Lazarus Pit, but until the writer(s) say anything of that in his own series I don't consider these speculations as canon.
I didn't read all the stuff of the old continuity, but in the new I don't remenber anything of that.