IFAK (Individual First Aid Kit) package assemblies (I) of the disclosure may be compatible with MOLLE (Modular Lightweight Load-carrying Equipment) frequently used by law enforcement and military personnel and facilitate ambidextrous access capability. The iFAK package assemblies (1) may include an outer shell (2) having a first outer shell end (8), a second outer shell end (10), an outer shell interior (6) extending between the first outer shell end (8) and the second, outer shell end (10), a first shell opening (9) at the first outer shell end (8) and a second shell opening (11) at the second outer shell end (10). An interior sleeve (66) may be removably deployed in the outer shell interior (6) of the outer shell (2), The interior sleeve (66) may be selectively removable from a selected one of the first shell opening (9)and the second shell opening (11). A plurality of first aid items (88, 90) may be carried: by the interior sleeve (66). A left tourniquet sleeve (30) may be carried by a first side of the outer shell (2). The left tourniquet sleeve (30) may have a left sleeve interior (33) and a left tourniquet retrieval opening (31 ) corresponding in position to the first miter shell end (8) of the outer shell (2). A left tourniquet (62) may be deployed in place in the left sleeve interior (33) of the left tourniquet sleeve (30). The left tourniquet (62) may be selectively retrievable from the left tourniquet sleeve (30) through the left tourniquet retrieval opening (31), A right tourniquet sleeve (34) may be carried by a second side of the outer shell (2) opposite the first side. The right tourniquet sleeve (34) may have a right sleeve interior (37) and a right tourniquet retrieval opening (35) corresponding in position to the second outer shell end (10) of the outer shell (2). A right tourniquet (62) may be deployed in place in the right sleeve interior (37) of the right tourniquet sleeve (34). The right tourniquet (62) may be selectively retrievable from the ri