First off, great job. The car looks beautiful and you're results are much better than the results I got the first time I ever did paint correction. This is a great thread and I like the way you have the pics laid out for the products that you used in each step. Very informative for other first-timers to know what products they'll need for each step.
I don't think that your times are particularly slow. On a filthy car, I can spend an hr washing and drying. Concerning claying, if a car has a lot of bonded surface contaminants and you clay every little corner (door handles, etc...) and you're really working to get 100% clean, an hr isn't bad. I usually aim for 90% contaminant removal and can get every panel done in 15-30 min, but I just did my mom's car, and because I love her, I detailed it as if it was a $100,000 show car, getting 100% maximum results in every step. I spent 1.5 hrs claying her midsized SUV. You're compounding and polishing isn't slow at all! It can easily take 4-6 hrs to compound a car, esp if you're hitting all the small spots by hand (where the machine won't fit). Polishing is usually a faster process, but still 3 hrs, give or take an hr. Waxing times seem right on. I've only done paint correction on about 10 cars or so, so I'm no expert by any means. I'm sure there are others here who are longtime pros and can get it done a lot faster than me, but the times I quoted are normal for me, keeping in mind that I really work to hit every square inch of paint. If the machine won't fit, it gets done by hand.
GOOD JOB!!!