I have a great 10 year old Microsoft Intellimouse Trackball that I love to death, but the rubber rollers under the ball are getting a little dry and rough and tends to get dirty much faster than in the past. All I need is to replace these little rubber things and my trackball will be good as new.
Fixie + rim brakes + ice or snow recipe for disaster.
I think people get really ticked when I ride up on their lawn.
Rim brakes as such isn't a showstopper. But you need to use good pads, and even then braking distance will increase. As for tires, knobblies will work on snow, but for ice and hardpack, studs/spikes are real helpful. On all-snow/ice even cheap ones will kinda-sorta work. But for mixed riding you need the carbide tipped ones as steel studs wear out fast on tarmac. I've gone from 100-160-288-240 studs, and think the 240 count is the best compromise between rolling resistance and traction. The 288 is wider, better on loose snow and rutted ice. But terribly heavy on dry roads.