It can certainly have 0, 1, 2 or 6 lines of symmetry.
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Rotational symmetry refers to symmetry of the figure when it is rotated about a single point in the same plane. Lines of symmetry apply to reflections. You do not have lines of rotational symmetry.
Yes. A circle has infinitely many lines of symmetry and it also has rotational symmetry of infinite order.
None or one.
It depends on the irregular figure. A rectangle, for example, has two.
Anything from none to 8.