The cowl numbers in your image are the model, type, then code.
This part list covers your engine type.
http://bsintek.basco.com/MDEXResultsPages/PDFDisplayPage.aspx?fileName=Z6lttJVJ1DajIhave a look at page 13.
I read it as your type has no alternator to charge your battery.
If it did, you would see some wiring coming out from under the flywheel.
As for paint colour, I used smooth cream, it is a common house colour.
It was close enough for me, but I am not particular.
You could phone COX MOWERS at Acacia Ridge in Brisane, for the colour code.