I don’t really use it that much honestly. Let me see…Ctrl-R is rename for a single file. Copy/move I think are selection operations, one way is to press space next to file names, navigate where you want and do Ctrl-P to copy or Ctrl-V to move (cut). Symlink, uh, just put the cursor on the file, “n”, “s”, type the name out and press enter.
You can also use the batch rename editor to move files it looks like. I hadn’t tried that before, but it does let you put in an arbitrary path.