I don't like the use of the term 'calorie deficit' because it is meaningless. What you mean is 'eat less food'! Unless you measure it, you have no idea what your metabolic rate is. Tables and formulae will give you an indication, based on biometric information, but it is unlikely to be accurate. Basing 'calorie deficits' around that is pure guesswork even if it is 'educated' guesswork. You may have more or less of a 'deficit of food' than you think, or none or even an 'excess' depending on what your true metabolic rate is and when, and by how much, your metabolism adjusts to re-balance itself.
Re-feeds are basically a systematised way of doing IF and biological systems generally do not operate in a systematised and predictable way, unlike man-made machines.
To answer your questions:
a) If you enjoy whatever activity you do as 'cardio' then do it - just don't be under the illusion it has much input into fat loss. If you only do it for fat loss and don't really enjoy the activity, don't bother and just concentrate on diet.
b) As I said, 'calorie deficit' is a misnomer - you won't have a calorie deficit because energy not provided to cells from food will come from fat stores (if you are eating in such a way that maximises the release of fats from adipose tissue rather than blocking it). This is how fat loss works.
The only issue you may have, if fat is not readily released in the quantities needed, is increased hunger - if you resist the urge to eat more food, your metabolism (or feelings of hunger) will eventually adapt to compensate for the shortfall in cellular energy and you will be back to square one.
Tom Naughton used an interesting analogy in one of his recent blog posts:
Fat Head » Energy Balance: Why The Food Cops Have It All Wrong
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