Adjacency Loop: Can the loop cross itself in shaded cells?

As a separate question: Does the solver have to indicate how the loop behaves in shaded cells to get full points?

Simple Kompass:
A little confused by the count of the bottom-left hexagon.
If this is based on Compass, shouldn't the "1" count be 3 or 4?
Which segment of the divided hexagon pie would the last two cells (of the long tail) count for?

Hidato:
Is it sufficient to draw a path instead of filling out every number?