I don't think you can get information about unauthorized software directly as such. However an audit connect to scan the file system can tell you what all exes are present on the system and how many of them are managed by HPCA. You will se FQSVCID attribute as non NULL for all those managed apps. THis may be a more detailed option as it will dril down to each exe .
The other option may be to compare the NVD_INSTALLED apps with APPEVENT data records so as to filter out what was not installed via HPCA.
I do not have a clear answer about the other query but please check for SCAP compliant scanner in HPCA SCM for antivirus related information.
For finding out information on the mapped drives a WMI scan should help ( guess Win32_logicaldrive)