Whites in the Northern part of the state started rapidly moving towards the GOP starting in 2004 turning it from a reliable "R" state to a solid "R" state. Mississippi mostly lacked that population except for in the NE corner and along with its strong AA population made it more competitive at least compared to Alabama, although staunch partisanism will prevent a Dem from winning unless we see either a Roy Moore type of situation or demographic changes occur.
Yeah, even in losing races Democrats often still carried the northern 1st House district. In 1988, when Trent Lott was winning 54%-46% statewide in the senate race, he still lost the 1st district.