Reading throught the manual, this is written about the suspend / resume function for the agent

Agent > Suspend

The Suspend page suspends all agent operations, such as agent procedures, monitoring, and patching, without changing the agent's settings. When suspended, a machine ID displays a suspended icon  next to it. While a machine ID account is suspended the managed machine displays a gray agent icon  in the system tray.

You can filter the display of machine IDs on any agent page using the Show machines that are suspended/not suspended option in View Definitions.

 

All great, but is it normal that alerts/alarms etc from the time the agent was suspended until the resume do come in after the agent is resumed?

The manual is not clear on this topic, and worse of all scheduled procedures with 'skip if offline' unchecked are executed on the agent while suspended.