Yes cream (heavy aka whipping cream) is fine in coffee. Coffee is not a free drink. It contains .6 to .8 carbs per cup, so no you can not have unlimited.

Depending on the carb count for the chocolate and yogurt.....they may be okay. Wait until AFTER induction though. If it is not on your induction list, don't do it.

Yes you will continue losing weight after induction if you stay at 20 carbs a day, however you really need to start the Ongoing Weight Loss (OWL).

OWL teaches you how to eat within your own bodies carb limitations so you maintain that weight instead of treating this as a quick fix diet.

The more you go on and off diets, the worst it will be for taking the weight off due to messing up your metobolism.

In other words you are pretty much playing russian roulette with your body.

Hope that helps out