Movies don't look hard but figuring it out getting the shape of it getting everybody's character right and having it be funny make sense and be romantic it's creating a puzzle. Yes having been a writer for so long I have an awareness of when things are going awry but it doesn't mean I know how to fix them.
Besides the actual reading in class of many poems I would suggest you do two things: first while teaching everything you can and keeping free of it teach that poetry is a mode of discourse that differs from logical exposition.
People who lean on logic and philosophy and rational exposition end by starving the best part of the mind.