Yet Another Weather Plugin (Yawp) allows you to retrive weather information from openweathermap to your website
There are two ways to run the plugin.
Yes you can. Unpack your icon set to plugins->yet-another-weather-plugin->images and rename your icons to match the name of the current icon for corresponding weather type. Note: your icons must have .png extension.
Please email to email@example.com and I will be glad to help you out. Note: please include in the email your WordPress version, Yawp version and whether or not it works with WordPress standard theme Twenty Twelve. It will solve your issue much quicker.