Welcome to the forum.
In answer to your question, I wouldn't be worried about the corrosion in photo no2. Fairly normal for the underside of a car IMHO.
Photo 1: The area needs cleaning to asses what is actualy there. I wouldn't be happy with corrosion on what looks like the underside of the bonnet.
Photo 3: It's not clear where that is, or what size it is. If it is on the door panel, then that is a concern. Needs to be taken right back to metal, treated, primed and painted. To my eye, that just looks like a big stone chip years ago that was never treated.
Where has your car lived for the first 6yrs of its life?
You say 'they tried to fix'. Was that the dealer? How long have you had the car? Painting over rust is not treating the issue.
HTH