A typical reggae song uses primarily bar chords, in any progression that sounds nice to you. There are obviously some standard progressions but its up to you how creative or complex u wanna be.
Some of the dopest reggae tracks ur hearing on the radio are only two or three chords going back and forth. For example "Welcome to Jamrock" by Damian Marley and "Come Around" by Collie Budz use only two chords each.
Bob Marley, Steel Pulse, Aswad, Burning Spear, and Third World were known for writing complex songs with lots of changes. I think Bob Marley takes the cake though. Some of those songs were too hard to learn even with a tab book. "Concrete Jungle" and "Trenchtown Rock" both have about 15 different chords in em.