Around the remote: Chuck Barney's picks for June 12-18

DON'T MISS: The 70th Annual Tony Awards - Late-night funny guy (and Tony winner) James Corden hosts the celebration of Broadway's finest from the Beacon Theatre in New York City. Expect "Hamilton" to dominate. The hip-hop phenomenon leads all productions with 16 nominations, the most ever, and the cast is expected to perform an excerpt from the show. 8 p.m. Sunday, CBS. …