Yes, poetry is still relevant today. There's an old saying that there is nothing new under the sun. We caught a part of the movie, All About Eve, with Bette Davis the other night. The women were wearing off-the-shoulder dresses, and I mentioned to my husband that it's the big thing right now.
My daughter dislikes the new sandals that look like they have arrived straight out of the Roman Empire, but here they are back again, and it's probably not the first time.
The best thing about good poetry is that it truly is timeless. While the Cavalier poets push their "carpe diem" message, that who "live for today" is present in society: look at the divorce rate. Shakespeare's sonnets are not always easy for kids to understand, but if they can struggle through the syntax, he still writes beautiful love poetry.
And a poem I read years ago, called "Turning Thirty" doesn't lose its appeal because it is happening to people every day.
Poetry of the past, and today, still finds a way to speak to people: a lot of it shows up in songs. It is definitely alive and well, and relevant!