Don't be too afraid. Most of you math should be easily adjusted by adding a multiplication factor. For example, if your new resolution is a quarter larger than the old one, multiplying 1.25 to your current calculations, parameters, etc. make them work with the new resolution. A resolution double as big would have a factor of 2 etc.
Should be a simple (but boring) process of copypaste :)
p.s. if your new world should also have another ratio, you might need two factors, one for all vertical and one for all horizontal parts of your math. Note, it's only valid for another world ratio, not resolution ratio.