In addition to cleaning the rear vent pop off the removable filter/grille (if yours has one) and wash the fine mesh; it can look clean but still be packed with lint that chokes airflow. Avoid extension cords or long power strips - voltage drop slows the fan and makes it overheat - so plug it straight into a good outlet. Between sections, run the cool shot or fan-only for 20–30 seconds to purge heat from the coils and keep the thermal cutout from tripping as quickly.
For a binge-ready mystery series that should work well on older Kindles and go with Thursday Murder Club. It is Book 1 of the Thursday Murder Club Mysteries, so you start at the beginning.
A better on-ramp than jumping into a late-series title like Jack Reacher Book 29, and as a major publisher Kindle edition it typically has reliable formatting across devices.