I shortened many URLs using Rest API, with 'API Project' which is one of my Google APIs projects.
However, I cannot find the list of shortened URLs in the page of https://goo.gl/. (Here I can only find the list of shortened URLs I have created here on the webpage.)
I don't know why, but, I guess this is because I had several projects.
Where Can I find the list of shortened Urls with specific API-Key and project.
Plus, I cannot find it on the apis-explorer (http://developers.google.com/apis-explorer/?hl=ko#p/urlshortener/v1/)
API keys are used to access public APIs. Google URL shortener is in fact a public API you don't need to be logged in in order to use it.
If you are not logged in then Google has no idea who it was that shortened said url and now way of keeping the stats for you that you are looking for.
If you want to keep the stats on your own page then you should change your application to use OAUTH2 authenticate your application then use that to shorten the URLs. The stats will then apear.