Thanks for your reply, David. That was indeed not what the messages had been telling me. I was directed to what appears to be a contractor who managed the sale, called Nexway (I was redirected to them by Avast! from my system). I have emailed them and warned them I should place a PayPal claim if no solution was provided in timely manner. They replied, but they say there is nothing they can do but to undo the purchase. My fear now is that if they undo the purchase they may leave me with no antivirus protection whatsoever, and that Avast! and their contractor may keep me going from one another, when, as a matter of fact, whatever misinformation or coordination problema is between them, not me. I didn't know of the existence of such company until my own Avast! software redirected me to them.
I did report through the form you suggested as well. Thank you very much. I hope someone takes care of the matter.
Best regards and, again, thank you for your help. Have a nice day.