1. Different people react differently to caffeine. For me, it does not
seem to affect my weight loss, but I am not sure how much I would lose if I gave up coffee. You seem to know what you're doing, but did you try eating more sodium and less potassium for dealing with hypotension? Are you taking any medicines?
2. I do not think the cough is related to Atkins, unless you drink no water... but you'd have to be on a mission to do this.

I would see a doctor if I were you.
3.
This post (How To Measure Foods Properly) should help.
4. You are supposed to eat
at most 4 oz of cheese per day, even if these 4 ounces have less than 4 carbs. 4 oz are equivalent to about 100 g, so eating a mozzarela at every meal is not allowed during induction (sorry, I know this is awful...

).
5. This is typical during induction. It will go away after some time. I remember I gave up my alarm clock last semester while I was on induction, because I was up at 6 anyway.
Regarding food sizes... A slice of cheese typically has 1 oz (not the one cut by you, but the one packed in slices

). In cheese cubes, one ounce is about the size of 4 regular dices. Here's a website that might also help you with this:
NAAP - Seven Ways to Size Up Your Servings | Department Of Medicine
To measure a cup of something, I use a 8 oz glass (1 cup = 8 oz). So just take a 225 ml glass, fill it with 'stuff', and you have a cup of that 'stuff'.