6
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Of a regular hexagon, yes, since it has an even number of sides.
A concave hexagon can have 6 perpendicular sides if you count the external angle of one. The angles would be 90, 90, 90, 90, 90, 270
p = a. In a regular polygon with an even number of sides, every side is parallel to the one opposite it. So all a sides are parallel.
2 is the answer
There is no specific name. For example, if you number the sides of a regular hexagon sequentially from 1 to 6, then sides 1 and 3 are not parallel but there is no specific name for that pair. In the context of the hexagon they do not meet - even if they do so way outside the hexagon. If they do meet up in the context of the shape, then they will be adjacent or intersecting sides.