While it is purely cosmetic and I hope no one would rate your adventure less favourably as a result, I think the issue of the lack of space between the numbers could be easily fixed without it taking you over four pages.
All you would need to do is to move the section numbers to the side of the sections, rather than having them above them. That way the space previously occupied by the number would provide spacing.
As it is though, the tight layout is not having any negative impact on how easy it is to play the gamr.