Can't we achieve the same with a DPST (Double Pole Single Throw) switch and a 4pin relay as in Fig1 below?.
View attachment 164715
If a DPST switch is not available you can do it with the relay alone. Disadvantage here is relay will unnecessarily pickup every time you put the reverse
gear even when there is no rain. Refer Fig2. In both the cases you need to replace the front wiper fuse with a higher (double) rated one.
View attachment 164716
You may also use the 5-pin relay you have for this purpose by leaving 1 pin (87a NC contact) unused. 1,2,3,4 terminals in the figure represents 85,86,30,87 pins respectively.