You're one hundred percent correct that everything someone says before or after invoking their rights goes into the report. So common sense would suggest don't admit to a crime you didn't commit and if you didn't commit a crime just tell the truth.
One positive about getting traffic tickets is you live in a nice neighborhood. Law Enforcement there has the time to enforce traffic laws and make the roads safe. Also that conversation is hilarious, especially the fact you've put that much thought into it. If I do a traffic stops I ask questions to create conversation instead of awkward silence.
Also, F that dude that stabbed your brother. He should sue him for everything. I'm surprised they didn't go attempt murder on that.
