Not following Charles Brock design. No patterns used, only read lots of articles and watching utube vids from multiple sources. Definitely learning a lot. The back slats are laminated style, took me about six patterns/templates to get it comfortable.The rocker is looking good.
The joinery for the arms is the easy part. You have already completed the hardest part, shaping the seat, especially with red oak. Hard the tear out using a carbide burr with oak is tough to clean up and harder woods are much more difficult to shape with rasps.
This looks like the Charles Brock design. If so, the way he attaches the rockers is the most difficult task. If you set the chair up on a flat surface and cut the legs flat to the floor then make adjustments to the risers on top of the rockers for the front to back angle, it is much easier and you will be much more satisfied with the outcome.
Are you using solid back rests or bent laminations via the Hal Taylor approach?