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Regarding the AI's gameplay, it behaves quite intelligently when controlling a hero. It NEVER exposes troops to attacks prematurely, casts the most effective spells from its spellbook when mana allows, doesn't shy away from area-of-effect spells, and tries to target the maximum number of the most dangerous units. The priority of attacking units is as follows (in descending order): casters/archers, flying creatures/melee units. Of course, this is a very rough approximation, but it chooses its targets correctly. It's a quite decent opponent. But the question is, what difficulty level were you playing on in that map? If it was below Veteran, then you don't even need to worry; you could definitely defeat that AI.
By the way, what difficulty level does Shadar play against the AI on? If it's not on Hero level, like the Ghost, then it's clear that Shadar needs more practice...