What are they examining your bags for purchased items? That’s gestapoish.
1. Yes they will if they suspect you (age group, clothes, newest phone, certain flights like LAX, LGA) as all custom officers all over the world do. As my bags have been searched every time I've entered the US.
2. You should read up on the Gestapo
2. I use SimpleAnalytics
3. I think Search Console is useful
4. But then, really?
PS: Over the last year, my impression in search more than doubled, my clicks fell 75% #AgeOfAI