Alternate-reality Jamie imprisoned, insulted, and nearly killed Coop — but when he's in danger, Coop immediately shifts into "Save Jamie" gear and goes back for him.
In the first season finale, after the two have been captured by the Glorft while attempting to save Coop, Jamie lays into Kiva about how he doesn't belong on these adventures and only comes along because Coop's his Only Friend... and Kiva's plan to save the future will separate the two for good. Kiva's response is to calmly break them out. Once reunited with Coop, Kiva explains to him how Jamie helped in the rescue attempt, and Jamie admits that Kiva did most of the work. Then they fistbump. Coop is utterly weirded out.
In "The Fat and the Furious", as a result of a broken key component, Coop is unable to use Megas immediately against the imminent Glorft attack. Fortunately Goat, Tiny and everyone else at the car show is willing to back him up. They're not always effective ("We're okay!"), but there's something charming about their successful attempt to stall the Glorft via car football, especially the expressions on their faces.
Near the end of "Space Booty" Kiva simultaneously explains to Coop and Jaime that Warlock had tried to have them both killed while her back was turned, and tried to get her to leave the team. At this point all three give the space pirate a Death Glare as Kiva encourages Coop to beat Warlock and his men up, Coop is more than happy to oblige.
Coop: Listen you—
Kiva: (interjects) You tried to break up our team, you almost killed Coop and Jamie, and you made me listen to your endless, cheesy pick-up lines!