Using projecting mapping we can unwrap this part quickly, then use weld and relax to create a continuous UV island. Once unwrapped we can leave them and we will pack them later.
Switching back to the Model layout. Add a subdivision surface to each part to smooth out hard edges and contours. We can see that our model does not hold its form very well and we will need to add in holding edges in many places for it to resemble our reference imagery.
We are doing this a little backward as normally we would add in holding edges then unwrap our model. The reason for this is that the model is fairly thin, and if we add in holding edges earlier on it will make unwrapping that much more challenging due to the close proximity of the edges.
When us...
Now that we have loops/holding edges added in we can merge our symmetry objects down. Let's duplicate all of our pieces so we have a backup, then use "C" on the keyboard to collapse the Symmetry object down and rename our copied parts.