Follow along with the video below to see how to install our site as a web app on your home screen.
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Try refreshing the widget. You should be able to go into the app's settings to set how often you want the widget to refresh on it's own.

I don't know how willing you are to pay for apps, but I use "Weather and Toggle Widget." It's $1.99 I think, and it's pretty accurate. I set it to 30 minute refresh, you can manually refresh it anytime you want, and it's only been off by one of two degrees for me. It'a an option.
There's also weatherbug app. It displays temp right on your notification bar.
No, just pay once for the app and your good. What do you mean radar? What do you want the app to do?