Jorge Salamero discusses 15 failure points to monitor in Kubernetes: 1) Application metrics like connections, response time, and errors 2) Node availability and resource usage of CPU, memory, and disk 3) Ensuring deployments are running the desired number of instances and not experiencing glitches 4) Monitoring pod status, restarts, and the health of the Kubernetes API server and services like KubeDNS 5) Validating Kubernetes configuration changes with tools that monitor deployment commands