1. It's likely that most of the HTML you are learning has been around since HTML 4.1. If you are learning to use the CANVAS tag and/or other multimedia type tags though, they are probably HTML5.
One of the reasons HTML5 was brought in was to standardise multimedia experiences across the web, and remove the need for Flash, since it has accessibility issues.
If you want to find out more about the differences as well as an introduction and see / try example code, check out http://www.w3schools.com
(Tip: you can search for terms like "progressive enhancement" and "graceful degradation" to learn more).
2. Regarding desktop action recording software, you can try out Cam Studio as it's free, but when installing, take care that you customise the installation options as it will install other utility programs, which, while not malware, you may not want on your system.