We need to know all QC licenses and the PC(s) that they are in. also we need to know how many are active or inactive. I appreciate it if you give me a lead of how to go about solving this issue.
You have to look at Site Connections in Site Administration.
QC licenses don't reside on client machines.
The license is installed on the QC app server and leased to clients on a first-come-first-served basis.
Site Analysis will give you a good idea of what your license usage is like over time at a site level, and you can drill down to individual projects.
It won't tell you about consumption of 'special' licenses like BPT or defects-only though which reduces it's usefulness significantly.
... just another Tester ...