Hi @da2bihar,
- I'm not sure I got your definition,
but it might look something like:
(.>=date('2020-01-01') and .<=date('2020-01-31')) or .<=date(today())
See also:
- For your second question:
You can specify the image/logo you want to display in the field 'media::image'
See also: http://xlsform.org/en/#media
I hope this helps!
Best,
Andrea