OK, re-downloading SEEMS to have worked. I re-downloaded G3 Power Tools 1 and all the icons are now there and the motions now work properly. I added the "SEEMS" part because at the end of the download the Content Downloader (aka RLDownloaderR2 [1118]) crashed with a slew of error messages, including these:
Exception Type: EXC_BAD_ACCESS (SIGSEGV)
Exception Codes: KERN_INVALID_ADDRESS at 0x0000000000000018
Exception Note: EXC_CORPSE_NOTIFY
I really loved the last one.
I will cross my fingers and re-download all the others.
Thanks for the help.