Dependencies are fine. You can start the program like this, from a terminal:
~/.local/bin/rapid-photo-downloader
It’s always installed perfectly well in the Virtual Machine copies I have of LinuxMint 18 & 18.1. But I know too that sometimes things in LinuxMint change in surprising ways, even including things that never should change, such as the contents of /etc/os-release.
Thus if you haven’t done so already, I recommend running sudo apt dist-upgrade from the command line.