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The energy of a electromagnetic wave increases as the wavelength decreases. Radio waves have a very long wavelength compared to gamma rays. Since gamma rays have so much energy, they can change molecules by "kicking out" electrons with their energy. Where as radio waves don't have enough energy to effect many compounds.
no, mechanical waves are not radio waves
Light waves do diffract, but the effect is very very small. In general diffraction effects are important when the object interacting with the wave has dimensions that are comparable to the wavelength of the wave. Light waves have much shorter wavelength compared to the radio waves. Hence the effect. (It should also be noted that radio waves penetrate buildings much better than light waves, but that leads to a more nuanced discussion of diffraction effects.)
Radio waves ARE electromagnetic waves.
Yes. Radio waves are electromagnetic and are affected by anything that conducts electricity. The human body is mostly made of water, which conducts electricity and therefore affects radio waves. To demonstrate the effect, see what happens when you move around a radio tuned to a station with relatively poor reception.