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Hi Alexa! In order to solve problem one, I would choose which domain you want to use (it would be a great idea to use Moz's Open Site Explorer tool to see the domain authority of each of these URLs), and redirect the other URL to the preferred domain. If you don't want to redirect the one website, you could  leave both sites up and running just like it is and use the robots.txt file to stop the search engines from indexing one of the domains. Let me know if you need anymore help!

Looks like the two people who responded to your question yesterday actually gave pretty good answers/followups to your issue.

Sorry to hear you are having issues with your site. It appears that you have the two domains due to country targeting? If this is true, I would choose one domain, and 301 redirect the other domain to the one you want to keep. If they have a different weight or authority, then I would check the domain weight to see which is higher. What you don't want to do is potentially redirect a less powerful domain to a weaker one, as that can slow down ranking progress. If you are worried about country targeting, you can add in Language tags into your site and also submit a focus area in webmaster tools. This will also detect the language tags if they are properly installed. Once this process is complete, make sure to fetch the chosen domain in Webmaster Tools to help speed up the indexing of the new domain. Hope this helps!