What is the approximate shelf life for herbal infused olive oil, coconut oil, glycerin, or vinegar?
For 1), it is 2 hours. See Infusing olive oil with herbs: infused olive oil is not a shelf stable product and the same rules as cooked meat apply to it. 2 hours on the shelf, 3-5 days in the fridge. The type of oil doesn't matter. As soon you have plant matter where the oxygen is cut off, you risk botulism (can be deadly even if treated properly). 

For pure coconut oil, look at the date stamped on the package. This is what is relevant for food safety purposes. If you are asking "when will it go rancid", there is no way to predict it. Just smell it before use. 

Herbal infused vinegar will last the same as other vinegar. It is safe for years, unless you notice signs of spoilage (mold). 

Pure beeswax also lasts for years without becoming unsafe. 

All of this is for each of the exact products you mentioned above, unaltered in any way. For example, if you were to emulsify together the infused vinegar, the beeswax, the coconut oil, and some water, the resulting shelf life would be again 2 hours outside of the fridge, after which it would be unsafe for consumption. Or, to say it another way: the storage lifetime of a prepared food is not determined by the storage lifetime of each ingredient. You can learn some more in our tag wiki on food safety: https://cooking.stackexchange.com/tags/food-safety/info.