Home button not work

You don't really give us much to work with here...perhaps some more details on the recent history of the device.

I will assume the screen cracked and you or someone else replaced it. Did you follow this guide?

For the Home button, if you transferred it from the cracked screen to the replacement one, you may not have put proper adhesive so it isn't solid enough to respond to a press.

For the lifting, did you clean off the residual adhesive from the frame with IPA before applying the new one? You may also have not folded the flex properly and it is constantly applying upward pressure, which lifts the glass.

Give us more details and/or pictures and we will be able to give you more specific guidance.