About post offices, 1 possibilities exist (like "مكتب بريد المخا"). The area offers 3 spots in the "hotels" category. For banks and/or ATMs you have 2 locations.
For schools you have 6 places with "الزهراء", "Al Kuwaiti Primary School", "As Sa'eed Mixed Primary School" for example.
In term of hospitals you can find 6 places (like "الوحدة الصحية الميناء", "مستشفى المخا العام").