2) Disputes and hype in science. It is perfectly normal for scientists to disagree on the explanation of a given phenomenon. The inexact science of economics is second to none in this respect.
Scientific communication, especially the sort that aims to help you in making informed choices, should mostly be about the ABCs of disciplines, and therefore largely unaffected by disputes at the frontier of knowledge. However, if you assume that truths about nature must be immutable, coherent and all-encompassing, disagreement between experts is a potential source of mistrust even for the most basic facts of science.