Dallas begins with a Romeo and Juliet theme. Bobby James Ewing, the youngest of the Ewing sons, marrying Pamela Barnes. Pamela (Pam) is the daughter of Digger Barnes who just happens to be the enemy of the the head of the Ewing Family, Jock Ewing. Digger also shared a romantic past with Jock's wife Ellie. The marriage does not sit well with any of the Ewings. Sue Ellen resents the newcomer, Lucy tries to intimidate her from the beginning, and Jock is furious. J.R reacts the most strongly, trying to break up the couple by using Ray Krebbs, the ranch foreman of Southfork, to break the couple up. Ray had a brief fling with Pamela Barnes, and J.R hopes this will end the marriage.
Lucy Ewing is skipping school, and spending most of her time in the hayloft with Ray Krebbs. Pam, still not fitting in with the Ewing Clan, decides Lucy is her ticket in. Pam decides she will 'mother' Lucy and get her back in school. Lucy doesn't like her Aunt's interference, and up's the anti by claiming the guidance counselor sexually assaulted her. Pam, in the first of the 'Pam saves the day' episodes, finds out the truth and gets Lucy to tell the truth and return to school.
Luther Frick and his buddy find out that J.R Ewing and Ray Krebbs have been having a little fun with thier women, so they decide payback is in order. They go to Southfork while most of the Ewing men are away and hope to do the same with the Ewing women. They kidnap Pam, Sue Ellen and Lucy and seek revenge.
The Ewings hold the family's annual Barbecue, and as usual the sparks fly. Digger's appearance pleases Ellie but annoys Jock. Lucy is thrilled Pam's cousin Jimmy is in attendance, and she shows him the hay loft. Bobby and Pam announce that Pam is pregnant. The fact that Pam is pregnant upsets Sue Ellen and J.R. Sue Ellen drowns her sorrows in the bottle.
Bobby surprises Pam by asking her join him on a business trip to Las Vegas. During the trip they are shocked to find brother Gary working at the hotel they are staying at. Lucy has been busy as well. While at a cattle auction with Jock and Ray, she ditches out with Pam's cousin Jimmy, Ray is not pleased. It turns out Jimmy is just her drive, he takes her to the diner her mother is working at. Lucy has been secretly visiting Valene. As Lucy and Val catch up, Bobby talks a reluctant Gary into returning to Southfork for a visit. Pam understands his reasons not too, but Gary eventually agrees. When Bobby calls Ellie with the news, she gives a stern warning to both Jock and J.R. Jock is not pleased and J.R begins to plot Gary's downfall even before he returns.
J.R's efforts to rid the family of Gary...again, begin to work. J.R pretends to help his younger brother, by including him in some Ewing business. The venture, however, is with a company doomed for failure, and Gary begins to feel the stress. Valene realizes what J.R is up to, but is unable to stop it. Pam has trouble of her own. A drunken Digger showed up at Southfork, while recovering from his binge, he tell Pamela he will no longer acknowledge her as his daughter because she is married to a Ewing.
Bobby questions his role at Ewing Oil, as J.R's way of doing business does not sit well with him. Jock does not support this, and confronts J.R. During the discussion, Jock suffers a heart attack. Bobby deals with his father's illness, by joining Ray working at Southfork. Jock knows J.R is not telling him everything, and wants Bobby back to keep things on the straight and narrow at Ewing Oil, the company he started. While in the hospital, Jock finds out he needs open heart surgery. All the Ewings are there to support the patriarch of the family.
Sue Ellen is fearful Pam will produce the next Ewing heir before her. Sue Ellen is desperate, and decides to adopt. When she encounters obstacles, she decides a quicker method is required, and goes to extremes with a 'black market' baby. This deal is going to cost Sue Ellen cash, and decides she should meet the mother. Sue Ellen forms a maternal relationship with Rita Briggs, the mother of the unborn child.
Ed Haynes shows up in Dallas, causing conflict in Bobby and Pam's marriage. Pam was married to Ed, something she failed to tell Bobby. J.R of course uses the opportunity to stick it, again, to Pam. Ed was in the Vietnam war when Pam got the divorce, and claimed he never got the divorce papers, and claims that he and Pam are still married.
It's Lucy Ewing's birthday. Sue Ellen is planning the music, Pam brings her home dresses, and J.R is planning the guest list. Lucy is not pleased. She tries to convince Grandaddy Jock to let her invite her mother. Jock says he does not want Valene on the Ranch given how she left the last time. Lucy tries to explain that J.R lied, and her mother never took the bribe J.R offered, but he stands firm. Lucy leaves Southfork in the middle of the night, taking a guitar, and J.R's car with her. Eventually she is picked up by a con man, Willie Guest, who includes Lucy in some of his thefts and scams.
During a storm, the Ewing plane, with both J.R and Bobby on board, crashes. The news gets to Ellie first, who, worried about his heart condition, insists the news be kept from Jock. As J.R and Bobby fight for survival, the Ewing women contemplate life with them in it. Sue Ellen is worried her place at Southfork is not secure without a Ewing heir. She comes across Lucy trying to get in touch with Gary, and argues with the young girl. Lucy taunts back that Sue Ellen will never have Southork without a child of her own. Miss Ellie confronts a reporter who comes to Southfork, and Jock overhears and is furious that the news has been kept from him.
When J.R was feared dead in the plane crash, Sue Ellen turned to Cliff Barnes for support. The relationship progressed, and while J.R is away again, the affair goes further. Bobby and Pam's relationship is tested as well. He wants her to help with business, she wants to pursue business of her own at The Store. Sue Ellen finds out she is pregnant, and drops Cliff fast. J.R is suspicious of the pregnancy, given how suddenly it occurs after seven years of marriage.
Pam, Bobby and Lucy join Ray out for a night of country music. Ray has become serious about country singer Garnett McGee. When Jock leaves Ray some land on Southfork, he pops the question to Garnett. Lucy wants to follow Garnett's lead and become a country singer, but the family refuse to allow it. Garnett wants more than Ray can offer, and hooks up with J.R who puts together a music contract for her, with added benefits.
Bobby Ewing decides a new venture in is order. His old buddy Guzzler Bennett returns to Dallas, and wants Bobby to join him in the construction business. Hitch is, they want to build a shopping mall on a remote part of Southfork. Ellie wants no part of the idea, and J.R has that land in mind for future oil drilling. Guzzler's selfish ways also put a strain on Bobby's relationship with Pam.
Ellie's brother Garrison, presumed dead, shockingly shows up at Southfork. Ellie, knowing the Ranch was supposed to be his, tells the family she will be giving Southfork to Garrison. The family is not happy and J.R, of course, insults Garrison, causing the old man, who does not want Southfork, to fight back.