All correctly seen by rick2018.
Definitely use a proper 19" patch panel. I just started with the 2 grey parts and left it like that for now. The patch cables to the switch are actually too long for me, but you just use the things lying around.
Currently, only one access point (UniFi Accesspoint AC lite) is running. It's enough for one floor in my case. The WLAN at the FB is turned off.
The NAS has a small fan on the back, but very quiet. You hear the hard drives more.
The POE injector is directly between the switch and the respective port on the patch panel. Normally, every network connection can be made POE-capable. The device at the end must also be POE-capable.