Hi Kevin. Yes the resistors seem to be absent from the diagram. My bad. But the ones I used are 220 Ohms. You can use almost any resistor, all the difference it makes is how shiny the LEDs will be.
I think the MR should be connected to 5v. This should be something very easy to test though, if you have a 74HC595 hanging around.

I have included three code files, are you sure you have looked (and copied) through all three of them?

Just wondering why have you copy pasted code here?!