Lion06 is correct.
When analyzing the components of a railing system (keep in mind that if it is attached to the stair section, it is a "handrail". If it is not part of the stair section, it is a "guardrail".), isolating the components is a conservative approach. For instance, to determine the moment at the bottom of the post, if you apply 200 lbf to the top of the post alone, you are not gettig the benefit of any load sharing. In most cases, a typical 6063-T52 square post will fail under ASD. Load sharing typically begins with the continuity of the top rail. It is a pinned, continuous beam in most cases.
To develop the weld at the baseplate for the post, you consider that the post-to-plate connection is fixed, yet the plate-to-concrete attachment is not really fixed, but the resulting couple from the base plate is the load on the anchors.
Further, many codes still allow a 1.33 overstress for stairs and rails. Check your code.