First a caveat... I do not having any first hand experience with kallitypes, but I have done other alt processes and I am a retired chemistry professor. Thus, my response is based mostly on my chemical intuition with some alt process intuition thrown in.
Is the oxalic acid necessary? Probably not, there are many other recopies for kallitype that do not include it.
Making separate solutions will probably work, many other kallitype methods keep them separate as stocks. If you are going to do this I would try to make each stock solution at twice the concentration you list. Then when they are mixed 1:1 as you suggest the final concentrations will match your original recipe. The one possible hitch in this plan are the solubility limits for the various components... one or more might not be soluble at twice the concentration list in your original recipe.
Separate solutions should be less sensitive to light than the combination. As you will see in the chemical details, all of the photochemistry in the iron-based processes begins with the photo-reduction of the iron.
If you are going to try separate solutions and want to include the oxalic acid, I would add the oxalic acid to the ferric oxalate stock and not to the silver nitrate.
As for learning about the chemistry, I would start here:
https://www.mikeware.co.uk/mikeware/Iron-based_Processes.html. Mike's site is definitely the "go to" source where chemistry and alternative processes intersect.
I think that I covered all of your questions... if not, ask again!