Great work Shazz. I put a B70 Bigsby on an ES-2V a little while ago. The trem is pretty much the same as what you have and once the string tension is there, the spring compresses and brings the arm down. Don't know what instructions came with your kit but this is the Bigsby installation sheet, had to reduce the size a bit so not sure how clear it will be.
Attachment 6817
Not sure if you already knew how to wrap the strings around the bars of the bridge. Hope this is helpful.
Grant