Although only a couple of pieces of the model have been mapped so far, for the most part the rest would involve only repetition, up to the time where every part is chunked out, each one a non-overlapping UV island. After that, packing will be required and there's a new topic coming up on that.
One quick warning is that although you can copy and paste UV selections, quite often the polygon matching when pasting is not correct. For the circular shape we just mapped and the one next to it, the topology is the same, but copying and pasting the UV data is only partially successful (which means not at all in a sense) as some parts don't match, as shown in the following screenshot. For this reason, it is best to map every part as a unique step. If you have mapped geometry which matches geometry in another area of the model, instead of mapping the identical geometry again, you can clone an Element from the mapped part at Editable Poly level, delete the unmapped target polygons...