Building on your experience and testing further, this line seems to end the coding and allow for normal text after the link.
[iurl=http://www.a7a10.net/BSA/BSAGoldenFlash.htm][i][size=3]My A10 website[/i][/iurl]
Example 2, the very basic, no italic and no text formatting
[iurl=http://www.a7a10.net/BSA/BSAGoldenFlash.htm]My A10 website[/iurl]
And did some more digging\learning, see attachment for how to publish a code line for demonstration purposes without it getting activated, code tag in front and at end.