If you are narrating the story in present tense forms, then it seems most natural to use the same forms in any questions you ask.
If your students are at a fairly low level, it does not seem to me to be a good idea to mix present and past tenses for narative. I would have chosen the more natural past, but if you are going to use the present, I suggest you stick with it.
ps. I apologise for accidentally editing the original post. I clicked in the wrong place. I have now restored your post.