What is so good about raw honey
Raw honey is strained but not heated. It naturally contains pollens and enzymes that are beneficial, and more. Usually what is sold as raw honey has more flavor than the mass market pasturized honeys. RH is likely to crystalize -- which some people love, since it is more spreadable.
The "crystals, mold spores, pollen, flakes of wax and assorted bee parts" just mentioned are usually filtered out of raw honey, although not as highly filtered as the honey you'll find on the supermarket shelf. And remember -- honey is not likely to support mold growth or other kinds of spoilage unless it has been contaminated, in the bottling process or in use.
Raw honey is a super super food. Delicious, nutritious, anti-bacterial, anti-inflammatory and so much more. Different folks have different opinions about the health benefits, but some folks believe that consuming raw honey that is local to your area helps relieve/control outdoor allergies (this is a homeopathic concept). Raw honey is one of nature's most pure foods, it is one of the only foods we know of that is shelf stable for an infinite (?) period of time. As an aside, and anecdotally, I have smeared raw honey on cuts and (relatively) serious burns with remarkable effect. I do not know of any reason to pasturize honey, other than noting that additives are more easily inserted during this process (things like HFCS are not necessarily required on honey lables).
About the pollen/allergy connection, think of it like a smallpox vaccination, or allergy desensitization. The presence of the irritant stimulates the body's immune response to protect itself. However, caution is recommended for people with pollen sensitivity, even though the concentration is very low. Also, what we call bee pollen (collected from plants by bees) is not the flower pollen that causes the common pollen allergy. (This is not technically 'homeoepathic,' but that's a topic for another time and place.)