Kammala wannan magana: Lokacin da Abrahams ya koma Jamaica, ya shiga cikin masana'antar yawon shakatawa, yana kula da ƙarin ƙoƙari don tallata Jamaica da al'adunta a matsayin ƙaramin darektan yawon shakatawa har yanzu. Abrahams ya kasance memba na Majalisar Dattawan Jamaica (1977) kuma darektan kamfanin Air Jamaica. Bayan an zabe shi a majalisar dokokin Jamaica a 1980, Firayim Ministan Jamaica, Edward Seaga, ya sanya shi ministan yawon bude ido na farko a cikin majalisar Jamaica. A matsayinsa na minista, Abrahams ya jagoranci farfado da masana'antar yawon bude ido ta kasar. Ya kuma kasance mai ba da shawara ga 1983
Amurka ta mamaye Grenada. Abrahams ya bar mukaminsa na minista a shekarar 1984, bisa hukuma saboda "dalilai na sirri", kodayake ainihin dalilin bai bayyana ba. Ya kasance memba na Jam'iyyar Labour ta Jamaica har zuwa 1985 kuma ya yi shekaru hudu a majalisa a matsayin mai zaman kansa, ba ya sake tsayawa takara a 1989.