Josh, depending on how the american cheese was made, it may not be okay to eat. Depending on which company made it and how it was processed. That is why I said read the label.

Most hard cheese is fine the type that is sold in blocks, not the prewrapped individual slice type. Best to read the label. If it reads like a chemist list then it's not okay.

Hot dogs are processed meats. Some hot dogs have fewer carbs than others due to the fillers. aka grain or sugars. Hot dogs are not allowed on induction. Period. After your 2 weeks if you must have hot dogs I would suggest selecting a brand that has the lowest amount of carbs. Hot dog buns are a no no regardless if on induction or not.

You will need to get use to the fact that following a low carb diet will cause you to stop and read the packaging labels to find out what is inside. Buying whole or fresh foods is normally your best bet.

Happy low carbin!