The Promax Render is nigh-on identical to the BB5 in most respects. Just make sure that the cables are good (the smoother the better), the cam is greased, the FPA has anti-seize on it, and you have decent pads and you will be alright. They can be MTB cable pull or 'road' cable pull. Make sure that your levers match your calipers.
The caliper brake looks a lot like a slightly older model of tektro, eg R359 (*). They are suitable for non-NSSLR levers (anything meant for DPs 1993-2008, plus some others). The pivot bushings on cheap DPs are almost invariably shite; you might well be better off fixing the shimano brake.
edit; (*) of which there are many knock-offs too. Some of them are alright but most of them are not.
cheers