I like the two-tone blue arrow line for "Strengthen your supply chain" (#11 & #12). The simple circle design for C8W (#12) is catching my eye, but something not quite right. Maybe the chain links are overpowering? I also like how you linked the two-tone CHAINWRIGHT together with the 8 (#8, #10, #11, & #12). I like orbits, but not particularly fond of them for this logo unless they can really tie into the "chain" or "supply" theme. I also like the 8 on it's side (infinity loop). Connecting the i's is interesting (#7, #8, & #10). But I don't care for the 8-links (#8). I do like the CW inside the infinity loop (#6).
I really don't know what to say other than I really like #13. I'd like to see some variations on that design. And while I indicated I don't think orbits fit into this theme well, I am starting to see how the orbits in #11, if completed on each side, would make a sort of chain. That might work?
Great work so far. Thanks for the new lettermark designs. I really like what I am seeing there and they give me more options to consider. I still like the wordmark CHAIN8WRIGHT with the negative space "8" in the font (#8, #10, #11, & #12). Maybe try it with a chain link instead of the "8"?