It is not B4A you have to reinstall but the Android SDK.
If you want to re-install everything from scratch then make a copy of the B4A directory and reinstall it elsewhere.
Thanks, NJDude, but error messages were displayed during the reinstall of the Android SDK (please see below) and then the emulator failed to load after several minutes. Eventually, the 'loading' message box simply disappeared. Here is a partial listing of the SDK install messages which includes all the reported errors:
Found Intel x86 Atom System Image, Android API 10, revision 2
Found Intel x86 Atom System Image, Android API 15, revision 1
Found Intel x86 Atom System Image, Android API 16, revision 1
Found Intel x86 Atom System Image, Android API 17, revision 1
Found Intel x86 Atom System Image, Android API 18, revision 1
Done loading packages.
Preparing to install archives
Downloading Android SDK Platform-tools, revision 19
Installing Android SDK Platform-tools, revision 19
Stopping ADB server failed (code -1).
Installed Android SDK Platform-tools, revision 19
Downloading Documentation for Android SDK, API 19, revision 1
Download interrupted: SSL peer shut down incorrectly
Downloading SDK Platform Android 4.4, API 19, revision 1
Download interrupted: SSL peer shut down incorrectly
Downloading Samples for SDK API 19, revision 1
Installing Samples for SDK API 19, revision 1
Installed Samples for SDK API 19, revision 1