From what I've heard, that goop is generally just sort of a last resort to get the car to the shop and the tire replaced. If you want them to repair it, I'd recommend getting a a kit like this, and just filling it with air through the air compressor that plugs into the car (keep reading below image).
I'm not sure if the jacking point is on the crimp like most cars, but if you definitely want to get a jack that is compact, I'd recommend something like this. By the way, what size donut did you get, and what actually fits in there? A full size spare wouldn't fit, eh? I don't have my Kona yet, but am considering a spare... Generally if a full size fits back there, I just keep one of my winter tires back there (and vice-versa the other half of the year).