The Battle at Mar-Vell's Laboratory was the altercation between a surviving group of Skrulls hiding in Planet C-53s orbit, and a Kree offensive including the Starforce. The battle was initially a chase for the Tesseract, where the stakes later escalated when Accuser Warships arrived to bombard C-53's surface with Kree Ballistic Missiles. Captain Marvel stopped the bombings and neutralized all members of the Starforce, and finally Yon-Rogg in the Mojave Desert, while the Skrulls escaped down to Louisiana for temporary refuge.
After Vers remembered part of her past memories, she realized that Skrulls are the victims of Kree's oppression, and decided to help them escape from the Kree. In order to do that, Norex modified their Quadjet to be able to launch into orbit, where Mar-Vell's Laboratory was located. He then remained on Earth to stall Yon-Rogg, who saw through his disguise and executed him.
Chase for the Tesseract
After Danvers, Fury, Rambeau, Talos and Goose arrive at Mar-Vell's Laboratory, they are ambushed by Starforce, who send Danvers to commune with the Supreme Intelligence, imprison the Skrull refugees and decide to dispose of Fury and Rambeau. But before they could, Danvers overpowers the Intelligence in a mental battle, manages to break free from it and the Photon Inhibitor, and asserts control over her full range of cosmic powers. In the process, she causes the cells where the Kree were keeping the Skrull refugees to overload, giving them a chance to escape. Danvers retrieves the Tesseract and decides to give it to Fury. He refuses to touch it but Goose swallows it. Danvers then stalls Starforce by letting them think she has the Tesseract, causing an all-out battle between Danvers and her former teammates and allowing the Skrulls, Fury, Rambeau and Goose to escape in a Quadjet. Yon-Rogg, in rage after Danvers defeats all of her former teammates, authorizes Ronan and the Accusers to launch Kree Ballistic Missiles at Earth. He and Minn-Erva then embark on space pods to follow the Skrulls to Earth. Danvers damages his pod, causing him to crash, and destroys the incoming Ballistic Missiles. Ronan sends more forces to battle danvers but she destroys all of them along with one of the Accuser Warships accompanying him, forcing him to retreat. On Earth, Minn-Erva tracks down the Quadjet carrying Skrulls, but Rambeau defeats her in air combat, destroying her pod and killing her. Danvers arrives on Earth and faces Yon-Rogg once more.
Duel in the Mojave Desert
After defeating the Kree armada, Danvers goes back on Earth to the Mojave Desert to face Yon-Rogg, causing nearby power grid lines to overload by her mere presence near them. Yon-Rogg admits that he admires her progress since when he first met her, but invites her to a 'fair' fight without using her powers to prove herself to him. Danvers, not going by the rules of her former boss anymore, simply incapacitates him with a Photon Blast, stating that she has nothing to prove to him. She then put him back in his still functioning pod to send him to Hala with a warning message to the Supreme Intelligence.
After the Kree forces attacking Earth were defeated, the remaining Skrulls gathered in Rambeau Residence for temporary refuge, along with Danvers and Fury. Danvers agrees to finish what Mar-Vell started and help the Skrulls find a new home away from the Kree. Suffering a defeat at the hands of Captain Marvel, the Kree Empire became aware of a new security force protecting Earth. Although Ronan the Accuser claimed they would come back for Danvers, he failed to deliver that promise as the peace treaty between the Kree and Xandar caused him to deflect from the Kree, and later be killed by the Guardians of the Galaxy.