Looks good! The font and contrast are great. Not sure who the character is or what it's doing though. You might want to make it a little larger on the website.
Looks pretty good, I would just make it a size or two bigger to fill a little more of your space on your header.
It looks good in general, but I'm not sure about the yellow contour. Rounded borders may work well. Also, it isn't big enough. You should work in high resolution always, and then just make a special version for your website, it's the correct method.
I think the logo is too flat and simple for a gaming site. All I see is a box split in 2 colors with a stroke and a rendered character with outer glow. I think the logo should be made a larger. The same idea can be kept, but you could make the color better, by using a silver gradient and a green gradient and adding a glass effect to it. You can even use the stroke and make it at 4-5 px and reduce the opacity till you get a cool effect. Then find a vector image of your character and re-size it so it doesn't lose quality. You can still keep the outer glow, but you could also use some free flame brushes and achieve a cool effect.
You could add a little glossy effect on the fonts You could make the white become silvery and the green can be turned to a nice gradient of a mixture of greens