Most of the answers appear in the right ball-park. But as with any middle-distance event you will need a certain basic speed in addition to speed-endurance. Based on my similar experience of running to beat 2.30 for the 800 when I was 12, I might suggest the following:
To be able to run two 75 sec laps together you will likely need to be able to run sub 67-68 for the 400. To be able to run that pace will likely require that you are able to run sub 31-32 for 200. That is your basic speed (as measured according to the Lydiard formula).
No one runs faster than their basic speed for further than 200; at every further distance there has to be a reduction of pace or you "blow up" - no matter what your speed endurance, although the rate of decline is less for the aerobically more efficient runner.
In essence, you won't run faster at middle-distance than your basic speed will allow, no matter what your fitness is. Hence 5k specialists are not 800 specialists. They aren't fast enough.
I suggest you run some 200's and see what your best times are. With some speed work you can always improve on them. But ultimately you aren't going to get any faster than the limit imposed by how much - or how little - fast-twitch fibre you have. That said, your target may well be possible for you. Good luck.