I made a flash game a while ago and am interested to port it to mobile devices with help of Unity.
So is there any package that can do something like projecting an SWF to a quad and I put a camera to show that quad in fullscreen and that package handle getting input and passing it to SWF?
No, but it wouldn’t perform well anyway even if you could, so it’s probably just as well. You will need to port it to Unity, but on the plus side, Unityscript (AKA “Javascript”) is very similar to AS3, so you may be able to reuse some of your original code with minor adjustments.