Wow, I didn't test a demo for quite a long time... Consider yourself lucky.
Anyways, this game has lots of errors/problems... In case you want to fix most of them, I can tell you some...
1. Noticed on the loading banner, please, for god's sake, say "no" to the massive use of the Triforce font. It looks horrible and unattractive. - The "A" on the HUD looks bad too.
2. In the Title Screen it's impossible to understand what's written between "Zelda" and "Press Start", I assumed it would be "Dawn of the Hero".
3. The graphics problem everyone has had... strange that it shows well on your computer. O_o
4. The enemy, probably you still haven't finished him.
Well, it's a good start, there's already lots of places tiled, not bad at all...
Oh, and better dialogues, in your screenshots there's: "Hey how come your not (...)", that influeciates negatively the people's idea on your game. Try to recruit someone that can fix dialogues or something like that...
Good luck with it.