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Re: First sketch, only 1 square and still not defined
Hi Jules,
so first, please make sure you understand what 'fully defined' means:
"a sketch is "fully defined" when its relations and dimensions have complete control of its size, shape, and position."
that square you drew: when you pick a corner you can still drag it anywhere. that means it's not fully defined.
when you put a dimension on one side, and e.g. constrain the height and width of the square with an equal constraint, its now a proper square (iso a rectangle) with a defined size. however the position of it is not yet defined. so if you make the origin of the part studio visible and put a coïncident constraint on the corner and the origin, it will define the position as well. all lines will go black and the sketch will be fully defined.
sketch 2 is probably fully defined because either you didn't draw anything in it yet, or what you drew auto-constrained to existing geometry..
These are very basic things and like Micheal suggested, the onshape learning pathways will give you a better fundamental understanding of what your doing than resorting to this forum each time you run into something.
Re: How to check why a regeneration failed?
A way to "sidestep" this entire issue is to keep the "blocks" you want to pattern as a separate body (i.e. separate part) and use a part pattern.
This will be more robust than a face pattern, especially when the pattern involves a number of faces like this.
Re: tangent mate: tangent propagation limited?
(Sorry - I was looking at this on a mobile browser, and the tangent lines looked solid). I very much doubt this is the issue, but there is an angular tolerance for when edge lines show as phantom indicating tangent. I don't know if that tolerance is any different than the "tangent connected" selections or tangent mate tolerances.

Re: Vertex on revolve axis
Although technically not self intersecting. It's kind like asking a computer or calculator to divide by zero. Error

Re: Should I split my questions, Stack Overflow style?
I post the vast majority of my questions or observations in General. It's frustrating when people don't search first for answers, but it's also frustrating when people reply to 5 year old threads which are no longer relevant because things change and improve every 3 weeks. Having topics change radically during the course of a thread is weird, but follow-ups seem perfectly fine.

Re: What am I missing to fully constrain this sketch
Two things.
- This is a common issue. When you do a circular sketch pattern, the center of that pattern won't be constrained to the center of the seed instance. So, yank on your sketch until you see the center move. Then make it coincident with the origin.
- You need a dimension to position everything around the circle. Like the 16 degree angle I added.
Re: First sketch, only 1 square and still not defined
@jules_nijst You won't regret watching some of those Learning Pathway videos. It will save you tons of time.