Downton Abbey
(Sunday, 9 p.m., PBS)
The year is 1923 and the fourth season of “Downton Abbey” is drawing to a close. Rose (Lily James) has put all that foolishness with the jazz musician behind her and is ready for her coming-out at Buckingham Palace (nearby Lancaster House substitutes). In attendance: the family, and Cora’s mother (Shirley MacLaine) and brother Harold (Paul Giamatti). Tom (Allen Leech) has a chance meeting with Sarah Bunting (Daisy Lewis), a schoolteacher who asks him to show her around the Abbey. Thomas (Rob James-Collier) sees them larking about; he tattles to Lord Grantham (Hugh Bonneville), implying that Tom had taken his guest to a bedroom. Meanwhile, Mrs. Hughes (Phyllis Logan) finds a train ticket in Bates’ (Brendan Coyle) coat pocket for York to London on the day Gillingham’s valet died; she tells Lady Mary (Michelle Dockery), and they agree to keep quiet. Later at the celebration ball, Mary is startled to learn from Gillingham (Tom Cullen) that Mr. Blake (Julian Ovenden) is in line to inherit a huge estate from a cousin, so he is more suitable for her than she thought. The Countess (Elizabeth McGovern) offers the staff a fun day out; Mrs. Hughes tricks Carson (Jim Carter) into choosing the seaside, where they splash in the surf.
Girls
(Sunday, 10 p.m., HBO)
During a GQ advertorial interview, Patti LuPone warns Hannah (Lena Dunham) that Adam’s (Adam Driver) new career path may cause unexpected problems. Meanwhile, Jessa’s (Jemima Kirke) boredom at work is interrupted by a surprise visit from an old acquaintance. Later, Hannah is assigned to review the Gramercy Park Hotel, and the group celebrates good news with Adam’s new friend Desi (Ebon Moss-Bachrach), whom Marnie (Allison Williams) finds particularly captivating.
Arrow
(Wednesday, 8 p.m., The CW)
Oliver (Stephen Amell) brings Sara (Caity Lotz) into the Arrow team. Watching Oliver and Diggle (David Ramsey) spar with Sara and talk old scars makes Felicity (Emily Bett Rickards) feel left out. The team is investigating a villain named William Tockman, a.k.a. The Clock King (Robert Knepper of “Prison Break” fame, pictured), who is a brilliant thief armed with technology that can open any bank vault in Starling City. After The Clock King infiltrates the computer systems in the lair, Felicity feels pressure to prove her worth. When she gets a lead on Tockman’s whereabouts, she heads out without the team, putting her in peril. Meanwhile, Oliver throws Sara a welcome home party, but Laurel (Katie Cassidy) refuses to attend. After Lance (Paul Blackthorne) makes his case for a family dinner, Laurel acquiesces, but when Oliver shows up with Sara, she loses her temper with both of them.
The Blacklist
(Tuesday, 10 p.m., NBC)
Liz (Megan Boone, right) helps Tom (Ryan Eggold) come to terms about their impending adoption while Red (James Spader) reveals that a woman from his past, Madeline Pratt (Jennifer Ehle) is the next target on the Blacklist. Elsewhere, at an elaborate party at the Syrian Embassy, Red convinces Liz to pull off a covert heist. And an ancient artifact becomes a matter of national security. Diego Klattenhoff, Harry Lennix and Parminder Nagra also star.
Mixology
(Wednesday, 9:30 p.m., ABC)
Recently dumped, Tom (Blake Lee) hasn’t dated in a decade. His buddies, Cal (Craig Frank) and Bruce (Andrew Santino), turn him loose at a local club. First date? Maya (Ginger Gonzaga), an attorney who leaves him in tears. Then Tom meets Jessica (Alexis Carra), a sexy single mom, and hot-to-trot Fabienne (Frankie Shaw). There are guys on the prowl, too — Dominic (Adan Canto, left, with Vanessa Lengies), an enigmatic bartender, and Ron (Adam Campbell), a failed Internet entrepreneur (what a catch!). Some people get lucky; others don’t.
Rizzoli & Isles
(Tuesday, 9 p.m., TNT)
When a kidnapper who dresses as a clown re-emerges after more than 20 years, the squad is struck with fear. Desperate for clues, they dig through files from the unsolved abductions of the “Summer of the Clown.” Meanwhile, Jane’s (Angie Harmon) relationship with Casey (Chris Vance) becomes more serious and Maura (Sasha Alexander) gets in the middle of another relationship. This is the first episode of “Rizzoli” since the suicide of co-star Lee Thompson Young.