I need to write a Windows utility which accesses the fax in my Brother printer and can perform the following tasks:
I am not sure which API/library I should use for the task.
Most of my programming experience comes from Linux and because fax is becoming more and more obsolete tech I'm not sure about the results I got by googling.
Anything that can be interfaced with Python, Java, C++ would be fine.
Edit: I've just read North Korea uses a fax machine to send threats to South Korea. Maybe, I exaggerated about this obsolescence thing...
Your best would be TAPI, here's a link to the QuickStart guide. Free source and code for TAPI from JulMar
That should get you started on the right path