Difference between IISRESET and IIS Stop-Start command

Take IISReset as a suite of commands that helps you manage IIS start / stop etc.

This means you need to specify the option (/switch) what you want to do to carry out any operation.

Default behavior OR default switch is /restart with iisreset so you do not need to run the command twice with /start and /stop.

Hope this clarifies your question. For reference the output of iisreset /? is:

IISRESET.EXE (c) Microsoft Corp. 1998-2005

Usage:
iisreset [computername]

    /RESTART            Stop and then restart all Internet services.
    /START              Start all Internet services.
    /STOP               Stop all Internet services.
    /REBOOT             Reboot the computer.
    /REBOOTONERROR      Reboot the computer if an error occurs when starting,
                        stopping, or restarting Internet services.
    /NOFORCE            Do not forcefully terminate Internet services if
                        attempting to stop them gracefully fails.
    /TIMEOUT:val        Specify the timeout value ( in seconds ) to wait for
                        a successful stop of Internet services. On expiration
                        of this timeout the computer can be rebooted if
                        the /REBOOTONERROR parameter is specified.
                        The default value is 20s for restart, 60s for stop,
                        and 0s for reboot.
    /STATUS             Display the status of all Internet services.
    /ENABLE             Enable restarting of Internet Services
                        on the local system.
    /DISABLE            Disable restarting of Internet Services
                        on the local system.