Pool member health monitor with multiple conditions

There is no standard monitor configuration that supports this.

The best you can do is to have an http monitor (for port 80) and three custom TCP monitors (for 8010, 8011, and 8012), apply these to the node and set the Availability Requirement to At Least ... 2

However, this is not exactly what you require as this does not require Port 80 to be listening.

The alternative is to write an External monitor - a bash script that implements your relevant tests for the node and allows the LTM to mark it up or down.

A good template to start from is Template For External Monitors