Student or Learner
Which one is correct?
Keep your ID card/mobile phone with you OR yourself.
I think "with you".
You will also hear "Keep your ID card on you".
Wear short sleeves! Support your right to bare arms!
Yourself is commonly used instead of you by speakers who think it's a posh form of the word and don't really understand it. It is a case where learners should trust their instincts and understanding over wannabe pompous native speakers without much knowledge of grammar.