P9.05-P9.06 are VDD_5V , an input into the board, in parallel with the barrel jack.
P9.07-P9.08 are SYS_5V, the output from the board, the one you should be using.
These are different signals and should not be shorted together, but in your design they are all connected together. If you are lucky, this just prevents the board from powering on. If you are unlucky it damages it permanently. Try powering on the board without this PCB to verify that first.
The modifications below should be enough to fix this issue.
PS:
- it would be more helpful to post design files (kicad or eagle or whatever source files) instead of gerbers (which are essentially bitmaps)
- it would be more helpful to give a bit more details on the observed behaviour instead of just "couldn't quite get it work"