For calf stretches man, I've found calf pumps to be the most helpful. On all fours, push your heels alternating into the ground. I go for about 20 each side, easing into it each time at first. Then push your knees into the ground to get a stretch slightly lower down too.
For the running, I would actually do a combination of walking and running, but you don't have to take 8 weeks. The quarter mile, then half mile idea sounds good, just keep increasing the distance slightly each time.
One thing you could try is to run a quarter mile, and then walk (at a brisk pace if you can, if not at any pace you can do it) the remaining mile and a half.
Take a rest day if you're aching all over, then try it with half a mile (and walk the remaining distance), or even 600m. So for example you could go 400, 600, 800, 1000, 1200 etc up to 2400, (about 1.5 miles). That way if you run every other day, you'll hit the 1.5 mile goal in about 3 weeks. You could cut that down by going every day (apart from Weekends/just sundays) for example.