I think there will be ongoing reviews of data from other countries to look at adverse effects.
The data sheet for the doses for 12 -15s seems to have potential for putting a second dose on, and I think it is very likely that, in a month or 2, a decision will be made to give a second dose.
One option might be for the second dose to be slightly smaller (I am sure that there are research studies looking at different dose efficacy, it is what you would expect the scientists and pharmaceutical companies to do).
Regarding waning immunity, it is certainly possible that children will have a different/ better response to vaccines and also possible that their response will last longer (we know that the immune response can be affected by age). Again, I would expect that there is some research ongoing to look at this.
I think the pharmaceuticals companies have done a very good job of producing effective vaccines in a short space of time. Astra Zeneca, especially, did so aiming not to make a profit at all (I think they have been created very unsympathetically and this will put off other companies doing similar in any future crisis, which is a shame).
I think we should be very admiring of Big Pharma on this showing (and improve our STEM education so ha people can understand it better).