–Went to Auto Zone for a synthetic clay pad and some rubbing compound. Worked on the hood. Looks much better. Still a couple of (what I believe are) etched water spots that will never come out.
–Spent a while switching phones and trying to get navigation going in the Beemer. No good. One huge problem: service is so bad here that a newly-switched-on phone won’t even see the network for a while. Seems like the Beemer itself could also be anissue, though all software is up to date. Beats me. May take it to CarMax.