I can't see any possible benefit to your business running a promotion like this but that's not what you asked so here's some very direct thoughts. These aren't meant to insult but rather paint the picture of what I see as someone who doesn't know you or what you do but just has a link:
Essentially you've got 3 barriers to entry with just about 0 reasons to escape them.
The first thing I see on your app is a requirement to give it all sorts of permissions including wall access, that's a big block and something that any "new" visitor will have to pass before they even know what you're offering.
Next if I make it through that I have to like your page. Why? I don't know what your page is even about and back to my first point, if I do click it it's to win that iPad, and I will never respond to anything other than another giveaway thus killing your EdgeRank and turning that 1,400 out of 3,600 into 140 out of 3,600.
Finally I have no trust. You've explained nothing, the creative is ok but not amazing and there's a thousand free iPad giveaways out there on any given day. Why would I do all of this for yours?
But most of all I suspect it's distribution. Your friends are probably not eligible to enter your contest [friends never are], your fans don't follow you for an iPad and there's nothing inherently viral about the system at all. No game to play, not even a post to a wall or share button. You need distribution for a giveaway to hook and ideally not just giveaway sites.