Home button not working after screen replacement but still working

Hi, I just changed the display of an iPhone 7 and moved the home button to the new one (an amazon cheap display) but it stopped working.

I checked if I damaged the home button by replacing the display with the older one and the home button returned work, so is not damaged.

I think the problem is the new display, but I wanted to know if by buying an originale genuine used display I can solve the problem 100%. Do home buttons always work with original display and just give problems with not original ones?

I also discovered that if I press hard the screen to use the 3D Touch I can see some liquid pixel, and this happens in both of the screen that I bought from amazon (2 different link but the best reviewed on amazon)…

1- So the questions are, the liquid lcd that appear is a problem of the display or it can be something else (The battery is not bigger than it should).

2- If the home button still works, but doesn’t work with the not original display, can I solve it buying an original one?