There is a great number of challenges in determining PMI in forensic entomology. You might want to read the book "Forensic Entomology: The Utility of Arthropods in Legal Investigations" by Jason H. Byrd and James L. Castner for an overview.

The science is inexact and is modified by a number of factors like nature of environment, accurate data on weather, recording of the ambient temperature and that of maggot mass, without this information the probable maturation rate cannot be estimated. Identification of the species is needed. These are only few of them. But in expert hands can sometimes yield useful information about the date of death at a period when other indicators have ceased to function. When so many modifying factors are present definitely there will be lot of questioning

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Yes. factors such as burial of the body for example can impact PMI via forensic entomology as it largely restricts access of the forensically important diptera. I believe other factors such as winter - there is reduced insect activity. In situations where diptera are restricted and only coleoptera are able to access a body - coleoptera are supposedly not often used to estimate PMI as their developmental stages do not follow such a predictive successive pattern as Diptera