A polyhedron is any multi-faced solid. In order to know how many pairs, you need to know how many total faces.
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There are 257 topologically different convex octahedra. Many of these will have no parallel faces. It can have four pairs of parallel faces.
none
Three pairs.
A rectangular prism has three pairs of parallel lines. The top and bottom faces are parallel to each other, the front and back faces are parallel, and the two side faces are parallel. This makes a total of three pairs of parallel lines in a rectangular prism.
A spherical polyhedron is a dodecahedron with 12 faces