Both ortho and para substituted benzene will be in the same IR region as just plain benzene, but the absorbance will be different. Try to deduce which will absorb more or less IR light. Axial and equatorial substitution in cyclohexane will appear the same.
As for UV, which is looking more at the actual number of functional groups than their conformations, neither of them will show up in your average UV spec. Both of them are <200 nm, which is the minimum threshold for most. If you have the equipment, cyclohexane will show up around 155 nm and benzene will show up around 178 nm. If you have additional groups, they may show up in the normal UV spectrum. As per your question though, neither of them will show any difference based on their conformations.