This inspiration pic below has a similar design to your home. Notice that the siding picks up a color present in the stone base. I think the green's would be terrific for accent colors but for the body of the siding consider picking up a color in your stone so that the house color is cohesive. Paint your garage door the same color in your stone and accent your front door and your shutters. I think with the new painting you are considering and a revamp of your foundation landscaping and your home will really come together nicely.

The other thing I notice is that the shutters are too small for your windows. Consider resizing the shutters or even removing them entirely for a different look.

Please read this short article with photos about sizing shutters and having them either truly functional or look functional, it makes a huge difference on the appearance of your home: http://www.lifeofanarchitect.com/residential-architecture-101-shutters/