Both maxPrice and minPrice filter names are assigned to the same itemFilter element
itemFilter(1).name=MaxPrice&itemFilter(1).name=MinPrice
which is incorrect you should specify each filter on a different itemFilter element, i.e.
itemFilter(1).name=MaxPrice&itemFilter(2).name=MinPrice
Also you have itemFilter.name=ListingType
which is not valid either, the name property is on an element of itemFilter not on the itemFilter list itself, it should be itemFilter(3).name=ListingType
The correct url would look something like:
http://svcs.ebay.com/services/search/FindingService/v1?SECURITY-APPNAME=*APP ID GOES HERE*&OPERATION-NAME=findItemsByKeywords&SERVICE-VERSION=1.0.0&RESPONSE-DATA-FORMAT=JSON&callback=_cb_findItemsByKeywords&REST-PAYLOAD&sortOrder=PricePlusShippingLowest&paginationInput.entriesPerPage=6&outputSelector=AspectHistogram&itemFilter(0).name=Condition&itemFilter(0).value(0)=New&itemFilter(1).name=MaxPrice&itemFilter(1).value=201.00&itemFilter(1).paramName=Currency&itemFilter(1).paramValue=USD&itemFilter(2).name=MinPrice&itemFilter(2).value=200.00&itemFilter(2).paramName=Currency&itemFilter(2).paramValue=USD&itemFilter(3).name=ListingType&itemFilter(3).value=FixedPrice&keywords=iphone%205%2016gb%20unlocked