The weather report may not be that accurate. If you want try other weather report, please go settings->weather provider. You can switch to other weather providers to see if it works better. You could also try weather provider: Wunderground PWS and input your station ID.
You can adjust the rain data through Discover page->"+" button on the upper right corner-> Correct rainfall. You could also customized the weather restrictions, like I want to skip the schedules on the day after tomorrow as well, or I want to skip if rain more than 0.1 inch. The setting is in "setting -> preferences -> rain".