[mothered]

1. Don't I have to detail a minimum?

Correct.

That's what I've stated In my previous post - don't elaborate.

Because it was a delivery by appointment in a 2 hour time slot that I chose beforehand. I should at least say that I could not be at home when the delivery should have been made no?

If you're questioned about the delivery window, only then do you say what you've mentioned above.

Otherwise, don't say anything.

2. And so only afterwards if they ask me (after investigation or not) if I was contacted by the delivery man I would tell them that indeed he called me but that I told him that I was not at home. Does this seem less "suspicious" to you as an approach or there is still some inconsistencies in my plan?

Put simply, If they ask, comply.

If they don't, say nothing.