Michael, the only roads that are 4 lane at the moment are all outside the park, and the park gate to Castle Junction on Highway 1. They are working on twinning the road between Castle Junction and Lake Louise, but it won't be done until next year sometime. The Icefields parkway is all 2 lane.
Edmonton to Jasper or Edmonton to Banff (via Calgary) is the same driving time, about 4 hours. November is a nice time to visit, the sking hasn't started yet and the tourists have gone home so things are not crowded and its shoulder season for the hotels. You might have snow, or you might not, it just depends upon the year.