It is very unusual to have 5 schools all designated as your catchment school - is it really a catchment (with criteria like LAC/SEN, siblings in catchment, other catchment children, non-catchment siblings, all other non-catchment)?
I'm just wondering if there has been some sort of error in publicising catchments (which might be relevant to appeal, depending on what type of error)
Or do you just mean you live close enough that in recent years you would definitely have qualified for one or more of them on distance, but this year you were too far away from all of them?
If you turn down a place, you will have no place. The council has no obligation to find you another.
You need to find out now what your council does about requests to place a summer-born child in the next years cohort. They are not allowed to have a blanket approach, so what is their policy for considering individual requests.
It might be unwise to turn down a place if you do not know for sure (and I mean in writing) that you can apply for reception again next year. If you have go in to year 1 (ie not starting until he reaches compulsory age, but joining his normal age group) you might not find available places any easier to come by (as all the reshuffling will fill the popular schools)
Accepting (or at least failing to reject) your offered school makes no difference whatsoever to your place on the waiting list for schools you prefer.