These suggestions come from the existing tag base. It's certainly not based on the tags I've asked questions in previously or answered questions, and it's not the most popular tags. If I ask a question I get a different set:
so there is be a random element in there - in fact the three example tags are chosen randomly from the top thirty tags on the site. If you notice mine even suggests the career tag - even worse! - these tags persist for me when I open the Ask Question page again, so there is an element of caching in there as well.
Once the bad tags are removed from all questions (hint, hint) then they shouldn't appear in the list again, so get retagging.
One of the developers will see this question and be able to give a definitive answer.