I think it's fine.
On sat. 8 you will have time to acclimate altitude, and probably hang around quietly around Cusco city. I suggest to go to Convento de La Merced (one block from main square), to admire the beautiful treasures and jewels. Check the opening times, cause it's few hours per day, that's why usually it's not included in city tours.

2 days in Machu Picchu area gives you enogh time to visit the ruins and climb one mountain (why Putucusi instead of Huayna Pichu? just curious, I have not climbed any so I can't suggest, but usually I don't read people choose Putucusi).

Yes Pisac market, though it's open several days at week, it's better on sundays, or so I read. Farmers shows their uncommon products that day.

Sept. 13 and 14 in Cusco gives you enough time to do the city tour, including the ruins near the city (Tambomachay, Puka Pukara and Sacsayhuaman).

Now your day at Sacred Valley including Pisac, probably will let you visit one more site, probably Ollanytaytambo. So on day 13 or 14, you could do a visit to Chinchero and Moray, near the sacred valley but actually not within the valley. It's 45 minutes from Cusco, or less. So I'll program it for one of those days. I wouldn't accept a one day tour of Pisac+Ollantaytambo+Chinchero, cause it would be too rush. So be careful with what they offer to you.