I had read a gossip piece that Harry and Meghan were "sure they would be invited to the Oscars, due to their film, etc", nope.
People in Hollywood still remember Meghan's nasty habit of gate crashing the Oscar parties when she was still an actress. There's the story that they've been invited to the Met Gala, followed by a story stating not if Anna Wintour has her way.
Harry and James Cordon must be on the outs, Cordon ripped Harry's book, have to find the article.