I just posted Check Win32 Service Start Type and I think it might help you. :-)

You'll need to modify it a little to work with remote servers. Most of what you will need to do is as follows:
Remove the delimiter argument^*, change all forward slashes to double backslashes and then change the line that defines $services to add $machine\\ before HKEY_LOCAL_MACHINE.

^* rather than rewrite portions of your existing script...