You need none of those until you have the frame in front of you and the rear wheel you are going to use so that you can get a general idea of what type of brake you can use and subsequently purchase. Otherwise you are getting ahead of yourself.
The blue frame you have shown in your first post has the hole in the brake bridge that is aimed the direction you need for a standard sidepull brake caliper. There is no need for an adapter that will essentially aim the hole 90⁰ out, those are for earlier style American made Schwinn fender bridges. The bracket/adapter that you refer to in your post #75 is a different type of adapter, one used to bring the brake bridge hole closer to the rim and aim the hole in the same direction as the frame hole...you will only need that if whatever brake you buy has too short of a reach, like the MX1000.
The 85 cruisers that we showed you examples of have a brake(likely diacompe or cherry) that has a reach designation of 1080. That size 1080 brake should work with any 26x2.125"(559 BSD) wheel. The link I sent you is for the 1080 size brake and that site has many more color options too.