This was happening with the unpatched 1.5.0.59, but it is supposed that the patch 1 fixes the issue.
I tried right now, build 59 patch 1 and patch 2, and both are showing the backup/restore save/open dialogs in Windows 7 64-bit.
The problem was related to the DiskTree scan mode initialization. If this scan mode is initiated, that kind of problems start to happen. So, to check if it is this same supposed fixed issue, make sure you start PDFE in a different than the DiskTree scan mode. Just start PDFE, change to any of the DBDiskTree, DBDisk or DBSearch, and exit PDFE. This will ensure the next time you start it, the DiskTree scan mode will not be initialized, and you can then check if these dialogs start to show.
This issue also messed up with the automatic updates, so check if following this method also fixes the "update server down" problem.
And please let know about your findings.