CAT5 Cabling RJ48c/x Termination

I'm at a site for work that was wired 15 years ago. The plugs weren't fitting well in the new switch I installed and when looking closer I didn't recognize the color pattern for how the wires were laid out for the building's existing wiring. After looking around I found that all the CAT5 in the building was terminated with RJ48c/x type keystones and plugs.

I have never encountered a set up like this before and was wondering if it is fine to use t568b from the wall to wired endpoints if PoE is involved.

Any help on this would be great.

Thanks!