It looks to me that the crystals are misaligned. If you look at the color of the dot in the first pic, it looks a blueish type of color, which is the way the camera sees IR. The laser is outputing alot more IR than green, at least thats the way it looks in the first pic. Post more pics of the laser dot. And be very careful with it, it may not be outputting much green, but the IR will do you in just as quick, and its worse because you dont have a blink reflex to a nearly invisible wavelength.
Also, that 5mW could be overspec, and outputting anywhere from <5mW up to >50mW. I have a 5mW rated greenie outputing 20mW. If you dont have an LPM, than you cannot know the actuall output power of lasers.
EDIT: One more thing that I forgot, *if* you are getting full IR leakage, than it will be alot more powerfull than 350mW, because the IR pump diode is more powerfull to allow room for power loss during the conversion process...