It's always hard to tell the true slope of a lawn from a photo but based on what I see it doesn't look bad and I don't think it would be an issue. As far as the front tires go, there really isn't much weight on the front wheels on a zero-turn mower unless you're going down a slope. I can pick up the front of my 52 inch Exmark to slide a jack stand under it. I haven't tried it with my Bob-Cat. You do have to be careful not to rip things up on turns on soft turf and you certainly can get stuck. I walk soft areas over before mowing and in general terms if the soil doesn't "squish" away from my feet I can run on it. It's impossible for me to predict if you'll have problems with rutting or getting stuck on your soggy areas, but the issue of mowing soft turf isn't unique to zero-turn mowers. You can either go around them until things dry out or grab the 21 incher, but I find the 21 incher with its skinny tires is more of a problem on soft turf.