If you cloud compile the dependencies in
project.properties take precedence over the local libraries. So if you have a local library that’s not available online, you need to remove the
dependency.xxx setting for that library from that file.
Also, if you cloud compile, you should get a list of the files that are uploaded to the cloud in order to compile that project.
Another way to get more info about the cloud compile might be to use
particle compile photon . in a terminal window.
That seems to indicate some issue with the local toolchain.
After uninstalling/reinstalling the local compiler you can do Ctrl+ShiftP Particle: Launch Compiler Shell and run
make -f $PARTICLE_MAKEFILE clean-all
(beware, that shell does not let you Backspace)
Try using forward slashes instead.
Can you zip your project and PM me a link (e.g. Dropbox)?