Hey don't panic about it.
The maths involved in Economics in first year covers parts of the AS syllabus - not the whole thing. I've got friends who didn't take Maths after GCSE (some who didn't do it at Sixth Form, had a gap year and then applied to Oxford - so 3 years without M, and I really don't think they found it that stressful; there are lectures and classes that bring anyone who doesn't have AS Maths up to speed. Sure it's another class/lecture to attend, but in the grand scheme of things if you have the aptitude for Maths (which to me an A* at GCSE suggests you do) then it's really really not that big a mountain to climb at Oxford. I think you have to work harder at things to start of with if you don't have Maths, but basically everyone gets there! After first year, once again there's lectures and so on that teach the material.
But putting that aside - in my experience plenty of people don't apply for PPE for all 5 choices on their UCAS form. So you could apply for PPE at 3 places, and Politics and Economics at 2. I did this (applied for PPE at Warwick, Ox and Durham, Politics and Economics at Bath and Economics and Philosophy at St Andrews) and got 4 offers - all except Warwick. If your PS is written for PPE but you're applying for P&E at other unis in my experience that doesn't make too much difference - as I said plenty of people do this, and plenty of people get offers from all their choices/most of their choices.
Now onto History - are you not interested in History and Politics at Oxford? It's a great course. I can't really advise on rewriting a PS, but it's still a month till the deadline so I am sure with the support of your school you could start over if you need to (remember you don't actually have to have finished every book on your PS by October 15th
and anyway listing too many books isn't great anyway!).
What attracted you to PPE in the first place?
How would you feel about a gap year? If you're really not sure at the moment, you could wait until next year when you might be more certain (I have plenty of friends who did this) or even apply for one subject this year and see how it goes, but keep in mind that you could take a year out and reapply post A Levels if you change your mind.
Last point - Oxford is one choice out of the 5. If you do pick PPE, why not just give it a shot?! People do get in without AS Maths, there's no reason you couldn't be one of them.