If you have more fat to lose, you can get more energy from it so a bigger deficit isn’t that much of a problem as far as I know - but it still can be a bad idea, some people can do it fine, others don’t…
It’s good to know your actual energy need (though that changes every day, obviously) if you try to eat according to calories, at least vaguely. You can’t calculate it.
1lbs/week isn’t the maximum safe fat-loss, maybe for people with little to lose but probably that’s more complicated even there.
Fasting is easier. Do whatever is comfortable for you, I think. If you don’t fast already, don’t force it, definitely not in the beginning when your body has enough new things to adapt to. But if fasting gets easier than not fasting (or you are very sure you want it and it’s not too hard) AND you still can eat enough, whatever that means in your case, do it.
If you already have problems with eating enough, don’t reduce your eating window even if you are used to keto - unless if it’s a test to figure out if you eat more that way. As that is possible. I remember I had a time when I got super hungry if I fasted until late and could eat very much (I mean, even more than usual. I normally eat biggish meals already). It still didn’t feel so good and I typically eat too much, not too little so I went back to my more natural, earlier meals. So it’s complex. What you can and willing to do, how you feel, what your nutrient intake does…
IDK why you think alternate day fasting would be good for you if you can’t even eat enough if you eat every day… I would think that type of fasting seriously reduces the calorie intake in most cases.