Jose,
have you gotten in any sailing with the present junk sail? I see that you plan to use your boat for daysailing. This means mainly sailing from A to A - and that again means that you will be sailing close-hauled much of the time.
The second-hand sail you will be offered will most probably be flat. These Newbridge boats from the seventies have ensured that the JR still has a bad reputation in the UK. Undersize, flat JRs, fitted on small boats with first-generation bilge keels will always struggle with sailing to windward. Even coming about to tack can be a lottery.
Dare I suggest that you make a new sail yourself? All that your sailplan needs is a couple of extra sheets, showing how to create camber (bagginess) in each panel. I can assure you that this will turbo-charge that rig (photo below)
For that small sail, you can use lightweight fabric, and an ordinary domestic sewing machine will cope just fine.
Think it over.
Cheers,
Arne

(my album, photo section 8-26)