Jaszek, glad to see you were able to shoot through a hole. Only a couple of things. The white balance looks a little off to me and your whites look a little yellow.
The biggest thing I have is that your shutter speed is beyond way to slow. My guess is you are shooting with a 70-200 at f/3.5 judging by your EXIF info. It looks like the lighting isn't as good as it is here in Raleigh but my settings are ISO 1600, SS 1/1000, and f/3.5. Yours are ISO 800, SS 1/250, f/3.5. Don't be afraid to bump that iso up. You need to over expose by about 2/3's of a stop to compensate for the white ice. These are all underexposed which scares me and looks like even at ISO 1600 you might be around 1/640-1/800 for shutter speed with your lighting. Should try this out next game and see if the results are a little better. No matter what try to keep that shutter speed above 1/500 and don't worry about noise because if you are overexposing, you won't see any.