1) OCR A doesn’t cover unit cells (though neither do any of the other exam boards in sufficient depth). Organic synthesis essentially is just modules 4 and 6 combined, plus some post-A level reactions (Wittig, Grignard, Diels-Alder, Lindlar’s Catalyst) and NMR is somewhere within module 6.
To cover unit cells etc, I would suggest looking here:
https://edu.rsc.org/download?ac=515776Organic synthesis also has a similar sheet, but it isn’t as helpful imo as it is far less comprehensive:
https://edu.rsc.org/download?ac=515775The RSC are annoying in that they limit the number of their free resources you can access to 1 per month if you don’t have an account, or if you do sign up (completely free of charge), you are limited to 2 per month.
2) There is a fair bit of maths in the Olympiad. Just looking through the 2024 paper as it was the most recent, I counted 42 marks for mathsy questions out of the total of 82 (this is excluding writing equations, even though exam boards typically classify them as such). Most of it is stuff you will have studied or will study your A level chemistry classes (i.e moles, equilibria, rates, thermodynamics etc), but occasionally you may be required to rearrange equations or manipulate logarithms with the laws of logs (an A level maths topic - I’ve only ever seen it come up once though from memory and that was on the 2022 paper in that ensilication of vaccines question). The units cells questions can be quite mathsy, but I think the guide to them I gave above should be enough for you to make sense of them.
3) I’m still at uni - I’m now going into my second year at Oxford.
Best of luck and congratulations for taking up the Olympiad. It is a wonderful opportunity to put your knowledge of chemistry to use in unfamiliar situations and an excellent means of seeing how well you can identify and use relevant information - several skills that will serve you well at university.
Also, do be careful when accessing free pdfs of books like that. It is best to avoid (unintentionally) downloading a bunch of malware along with the pdf.