NASHVILLE: After performing her manifesto song at her Opry induction, major pop labels are vying to sign Juliette, overwhelming Avery, who can barely afford to take her to dinner. (Mark Levine/ABC)

On “American Idol” (Fox at 8 p.m.), the 12 remaining vocalists sing songs that remind them of home.

The castaways on “Survivor: Cagayan” (CBS at 8) face a monstrous monsoon that drenches just about everything, and a blue-blooded alliance is formed.

Cameron is unsurprisingly on the party-planning committee for the school’s spring dance on “Modern Family” (ABC at 9), but then he goes head-to-head with a popular teacher. Later, Mitchell can’t quite figure out his new boss or work environment, while Lily clashes with baby Joe.

The police investigate a hazing case on “Law & Order: Special Victims Unit” (NBC at 9) when a football recruit from Georgia visits a college in New York City and ends up in jail.

The crew on “Criminal Minds” (CBS at 9) investigates a mysterious drowning death in the middle of the desert outside Las Vegas and tries to figure out the real cause and motive.

Pop labels are in hot pursuit of Juliette and her new hit single on the latest “Nashville” (ABC at 10), but the fame is beginning to overwhelm Avery. Meanwhile, Scarlett becomes more involved with Liam and goes to Rayna for a heart-to-heart.

RETURNING SHOW: Back for its seventh season, “Flipping Out” (Bravo at 10) has Jeff Lewis settling into his new home and work life with celebrity clients, including George Eads.

RETURNING SHOW: “Restaurant: Impossible” ( Food at 10) returns for its eighth season with Robert displeased with the bland barbecue sauce at a Redlands, Calif., joint and the relationship the owner has with her 21-year-old daughter.

RETURNING SHOW: “The Face” (Oxygen at 10) opens its second season with a slew of aspiring models walking in a pop-up show in Bryant Park. Naomi Campbell, Anne V. and Lydia Hearst are this season’s coaches.

Abbi and Ilana are forced to deal with a storm on “Broad City” (Comedy Central at 10:30) and a flurry of unwanted guests.

Actors Annette Bening and Norman Reedus are on “The Tonight Show Starring Jimmy Fallon” (NBC at 11:35), with music from the Avett Brothers.

Actors Tom Selleck and Carrie Brownstein come to the “Late Show With David Letterman” (CBS at 11:35), with a musical performance from David Nail.

Comedian Ricky Gervais stops by “Jimmy Kimmel Live” (ABC at 11:35), with a performance from Kongos.

— Rachel Lubitz