This is clearly a polygamous situation as there just aren't enough males so that each female gets a unique male.
We start off with making four initial bonds:
Boy 1 => Girl 2 (after 1 year when she is 19 years of age)
Boy 1 => Woman 1
Boy 2 => Girl 1 (after 2 years when she is 19 years of age)
Boy 2 => Girl 3 (after 3 years when she is 19 years of age)
Each bond is aimed at making 6 babies so as to allow some genetic variation later on.
Assuming that boy-girl ration in offsprings is 1:1, there would be 12 new boys and 12 new girls in 7 years.
After about 12 years girl 4 would reach 19 years and would be ready to participate in the process (if she chooses). Boy 2 would be 28 years old then so it would be a slightly odd pair, but within current social norms anyway.
After 19 years the population of the island would be nearly 8 (initial) + 24 (first generation) + 6 (first generation, delayed) = 38 individuals, 29 of which (2 initial boys + 3 initial girls + 24 of first generation) are still in procreation age.
(12 x 12) + (2 x 3) = 150 different mating combinations are now possible (considering no incest). My idea would be to reproduce slowly, taking into factors such as problematic genes (such as disease vulnerability and IQ). In this way you can allow all members to procreate while also applying some eugenics.
EDIT TO ADD
Here is a chart for the long term process. Males are presented as letters (a and b for Boy1 and Boy2 respectively) while females are represented as numbers (1, 2, 3, 4, 5, 6 respectively girls 1-4 and women1-2)
There can be types of repopulating plans. First one centers on self respect and dignity (no incest or cross pairing) while the other centers on genetic diversity and an option for later implementation of eugenics. The first chart is shown below. The x-axis represents time (in years) as alphabets (year 0 is now while year A means after 1 year, B means after 2 years and so on).

Correction: Girl 4 is missing from the chart. she joins in at year L (12 from the start) when she is 19 years old and is paired with b.
I will try and make the second chart sometime.
Here is the second chart. The second generation children pairing can go the same as in chart 1. The main difference between chart1 and chart2 is how people of generation 1 are paired. Chart 2 includes girls at ages 18 (instead of 19 as in chart 1) and includes cross pairing for increased genetic diversity.

2they probably might not survive in the long run , due to the fact that inbreding would become a serious problem after only two generations , and all manner of genetic disorders would appear. – None – 2016-03-06T17:19:25.863
There are, however , two solutions that can be produced depending on when the apocalypse happened , and the field of expertise of the survives. If it was near modern times , then the only real solution , ( although very dangerous and dark ) would be to irradiate their genitalia / semen with x-ray radiation , this might solve the issue of lack of genetic variation although there is a very high possibility for genetic defects – None – 2016-03-06T17:26:17.443
The second option is to manually change the dna of the egg /sperm cells , although this would rely on a high amount of luck , since one of the 8 would have to be a geneticist , there would have to be a modern ( relative to the time period ) hospital , and the apocalypse would have to take place in the future. – None – 2016-03-06T17:30:18.307
You should change your changed criterion of "Not more than 3 females" to reflect the fact that, starting at year 16, the female children will begin to become fertile. At that point, the labor of the subadult children will have become significant, and the older first-gen children can start bearing. – WhatRoughBeast – 2016-03-06T19:02:54.327
I'm not being rude, and I don't know the reason behind the question, but this makes for the most uncomfortable reading I've ever experienced on SE. – Dom – 2016-03-06T20:33:01.670
1
Note that there is another question on here that places the minimum starting human population that can survive over the long term at 160: http://worldbuilding.stackexchange.com/questions/3/what-is-the-minimum-human-population-necessary-for-a-sustainable-colony One immediate survival problem they will face as part of this question is infant and pregnancy mortality. Not all fetuses, babies, and toddlers will survive, but even worse, not all mothers will survive childbirth.
– Todd Wilcox – 2016-03-06T23:18:31.647