No, the remote switch and the Red Eye use the same Smartport, so it’s one or the other. One of the other Exposure lights, I think, has a wireless remote, but not the Strada.
The beam pattern is kind of horizontally elliptical, so it’s the same if you have the light upside down or the ‘normal’ way up if that makes sense. It doesn’t have a cut-off like the German lights, Saferide for example, which wouldn’t work upside down.
As above, just angle it very slightly to the left and down a little and it seems to work really well.
On the rear light front I just bought a TraceR rear light after my second Moon Shield started to go a bit random – the casing leaks eventually, stuff gets corroded, it stops working. So far really impressed with the TraceR. Very bright, programmable levels, nice pulse effect option and the burn time is a lot better than with the Moon, though the Shield’s good while it’s working and mine seem to last around two years of very frequent use before dying.