ok, the dog is adorable, and the art looks cool. Just a few suggestions:
-the tiles jitter a lot, and you can often see white lines between the seams. Look up pixel snapping and pixel perfect camera for this;
-coming down so fast feels awkward and makes the camera move way too fast, I'd either make the jump shorter or reduce the increased gravity effect;
-add a jump animation, having the dog stay still while in the air feels a lot less complete;
-add danger (fall damage, spikes, etc) and maybe objects, like a ball to throw at a button that opens a door, or a whistle toy that scares away an enemy bird, dog stuff;
-why eggs? wouldn't bones or dog treats work better?
all in all, it's a fun story, keep developing it :)
(I'd appreciate it if you could check my demo out btw, it's on my profile :P)