Thank you for quick respons, sorry for my delay in answering.
Tt seems like flamingo fooled me into thinking that it was a contact form problem because it does show the content of [your-email] etc. instead of who the email is sent to/from. When the user chose to use other names than the originial – it seems like it is the contact form who is misbehaving in sending.
My problem is most likely a server problem.