I'm an international student in the US. Three weeks ago I decided to buy a used car. I found a great option at an official manufacturer dealership. I wanted to buy it fully for cash. After a little negotiation with the manager about the price, he told that they could only finance the car otherwise either there won't be a discount and additional services, or they won't sell the vehicle at all. I tried to explain to them that I got SSN just a couple of months ago, so I don't have a good credit history for such a purchase even though my credit score is 700+.
They tried to assure me that it's possible and we have to give it a shot. Manager asked me about my info and SSN. The next thing is that they asked for Temporary Resident Card. I answered that I don't have such one since I'm an international student. They were shocked that I have SSN but not a temporary resident card and told me, "Why you didn't tell us earlier?". How do I suppose if they didn't ask? As a result, they said to me that it wouldn't be possible to finance a car with me and in the end agreed to sell a car for cash.
Later, I found out four hard inquiries on my report because of them. I might sign some documents which allow them to make a request, but such story happened just in an hour, and there were so many documents, so probably I missed something because of conversations with them.
My question is, will it be legal to make a complaint about these inquiries to financial institutions about such case or it's entirely my fault?