"Obviously he still likes the movie..." no, you don't even need to think about this. You are reporting what you understood at that point in the past, so you stay with past tenses. Jumping between tenses (past-present) without warning sounds very strange in English.
If you TELL a story, you normally use past tense. However, if you TALK ABOUT a story, you use present tenses because you're looking at the story from a wider, overall perspective.
It is also possible to use present tense to narrate a story, but this is for dramatic purposes: the listener/reader experiences the story as if it were happening now.