This is partly copied from one of my posts in another topic... This is what I think you should do in the Sacred Valley:
Day 2 Crazy travelling. Sleeping in Ollantaytambo. Are you sure you can get from Sao Paolo to Ollantaytambo in one day? I doubt it.
Day 3 Visit ruins Ollanta (half day) + other activity of your choice (See Awamaki for options !. Sleep in Ollantaytambo.
Day 4 Take early train to Aguas Calientes, walk to museum, have a quick picnic lunch, take bus up to Machu Picchu. There, pay for a guide for 1,5 hours. Afterwards eat some fruit in a quiet place of the ruins (Don't leave garbage!). Walk around. Relax. Breath the air. Start taking pictures and enjoy the site emptying. Stay as late as possible. In Aguas Calientes have a small diner. Take a late train out of AC and sleep in Ollanta. This way you will have had 3 nights at an altitude of 2700 meters, preparing you better for Cuzco.
Day 5 Leave early for Cuzco with a private transport. On your way to Cuzco visit two are more of the following (choose a you like): Salinas, Moray, Maras, Chinchero. Should it be Sunday there is a market in Chinchero ;o). Overnight Cuzco.
Day 6 Take a transport (buses are perfect here!) to Pisac early morning. Have a not too late quick lunch in Pisac villagecenter. Track your way back to Cuzco visiting Tambomachay, Pukapukara, Q'enqo, Saqsaywamán. From Saqsaywamán walk down (always better when there's not much oxygen around) into Cuzco until the Plaza de Armas. Ask for directions. If you speak Spanish I can refer you to an excellent guide, one of the few I liked around Cuzco. Overnight Cuzco.
Day 7 Visit the Cuzco city center. Overnight Cuzco.
Day 8 You can do the InkaExpress bus direction Puno. A quick google tells me that the majority is not convinced you can get to Copacabana in one day.
On another note: Some of the people on this forum have been traveling for more than 10 years. I myself just in South-America have travelled for more than 12 years in a row (Not all the time ;o)), preparing everything very well in advance. When I was younger I went on extensive trips to Asia, Africa and the USA, all perfectly organized by a profesional travel agency with a guide and private transport. Even those trips (running from one place to another) don't compare to what you are planning.
Therefor, I still think that you are loading up too much in too little time, and that you are also missing beautiful things along the way. If you can or can't pull it off, and if you will be happy with pulling it off, only time will tell. I guess you will be traveling for some more years, so why not split up this trip? Okay, it's very far from India, but if traveling like that doesn't tire you, why would 35 hours in airplanes / airports bother you?
As for arranging some things by yourself: Take into account that people in Latin-America, by vast majority only speak Spanish (or Portuguese) and maybe an indigenous language. If you don't speak Spanish, this fact alone might make you lose time when traveling.
About SIM-cards: I guess the level of hotels you are staying at, will guarantee you WIFI. And I wonder, if you don't speak Spanish who would you be calling anyway? The off the beaten track places you are going in Bolivia won't have WIFI, and I doubt if they will have phone connections. Chili and Southern Argentina I don't know.
What airline are you taken to Sao Paolo? And with connections where? Really curious about that!