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i got my new iphone se lcd to use on my iphone 5s but there is no display . And every time i plug it on my computer the itunes appear and the iphone is on recovery mode and the screen is black.

Did you disconnect the battery prior to removing or re-installing the screen connectors? If not, then you may have damaged the backlight circuit. To be certain, connect the phone to iTunes and shine a bright light on the screen. If you see a dim image, then the backlight is the cause. If both the replacement and original screen suffer from the same problem, then the issue is likely on the logic board and may require a micro-soldering repair.