Spain can be very hard for Latin Americans to enter but for most nationalities it's pretty straightforward. I don't know how strict Peru are when it comes to granting Visas to tourists who need one however from what you have told us it does seem they are strict or they got a bad feeling about your application. I think it's the latter.

See if you can find out what it was about your application that they weren't happy about. It's unlikely that they'll tell you but still worth a try even if it's just to put your mind at rest.
It must be very frustrating for you but if they say no then I'm sure they must have a good reason for it.