Mr. Google suggests that 5500 was 9 speed, new stuff is 10. So use a 9 speed cassette, shifters, maybe FD. 5500 cranks were octalink, so use your new crank (with external BB that you may need to buy). Use your new RD fine. I would try your new FD, and only use the old one if there are issues.
Brakes are an issue only with 5700 shifters and brakes, neither of which you report. Use the brakes with the groupset, or get 5600, SRAM rival, or Tektro brakes. No issues with the 5500 levers.