Stay positive! This is a good incentive to break out of this toxic tradition/behaviour. Now you have a good idea of what not to do. You might even tell your parents this conclusion.
"appeal to authority" is a good example in our current situation. How many doctors are talking crap about Covid? Here lies one of our problem about misinformation. Too many people are just regurgitate opinions of "doctors".
Generally speaking, I like to use fallacies for myself, just to be aware about certain pitfalls. Not so much about discrediting others, but rather not fall into one myself.
If I realize other people are using fallacies to support their argument, it helps me to build an argument against it. Just don't use it naively: "you're wrong because of fallacy number 42". Using it like this is a bad habit, because of the wast number of fallacies, you can probably kill any discussion.