I can't really help you with fixing the installation on Windows 10. As far as I know, Tytera's DFU mode is ahem nearly standards-compliant, and their drivers are unsigned. The latter might mean you have to boot windows in a special mode were signature checking for driver installation is disabled.
Anyways, there's good reasons to look into alternatives; I've only become aware of the MD-380 because of its free & open source firmwarelet / utility library that you can find at
maintained by Travis, KK4VCZ.
What it can do is automatically download the official firmware, apply some patches to it, and then, update the device (if a compatible firmware is already loaded) or just generate a firmware image that you can load through official Tytera ways on windows (which are currently failing for you) or automatically on Linux (and OS X, I presume).
Personally, I haven't used Windows in a rather longish time – I'm not a zealot, but it just feels awkward to me to use. For me, setting up a Linux installation is trivial, but that might or might not be different for you¹. Then, following the build instructions, I can build a firmware and utils rather quickly and use the
md380-dfu utility to update the MD-380.
By the way, the process that KK4VCZ used to reverse-engineer this firmware and DFU utilities is rather interesting; you can read on it in PoC||GTFO 0x10, pp. 76.
¹ however, looking at the companies you work(ed) for that I can find using minimal stalking techniques, you might have dealt with more exotic environments that e.g. Fedora or Ubuntu