Codes P0300, P0302, P0303, P0304 5.4L triton v8 rough idle, no power

So far what I've done erase codes the I took coil packs 5,6,7 and swapped them with 2,3,4 re run truck and that didn't change code still come up the same. I then disconnected all 4 injectors wires on the faulty bank so now the engine is really running rough, then I would plug in one, you can hear the difference when plugged in (smoothens out) then I unplug that one and do the next, same thing and so on. In other words I plug it in then remove it and do the next in line etc. I have noticed with all 8 back in run and it sounds like its backfiring through the throttle body so I took the air horn off to see what I can see. The throttle butterfly flops back and forth, and putting you hand over the opening you can feel the back pulse of air.

CHECK COMPRESSION ON MISFIREING CYLINDERS. "IF"OK,} ALSO CHECK FOR VACUUM LEAK THAT WOULD AFFECT THAT BANK. (RH,PASS. SIDE) CORRECT?

Feeling a "back pulse of air" makes me believe that the spark plugs are firing when they should not, when the intake valve is open for example. But, given that you have this problem with multiple cylinders, on the same bank ,I would conclude that the issue is something that all of those cylinders have in common(valve train, timing, etc.) I'd go with Wetry's response on the compression check as HE tends to be correct. If you find lean/rich or fuel trim codes then a smoke test for air leaks would also be appropriate.