How to have multiple instances of a field collection on single content type?
There is an issue for that: https://drupal.org/node/1569970
You can try and help that issue get moving.

Or you can give up and create several Field Collection bundles. If you go down that route, you could possibly use Bundle Copy, but it doesn't currently support Field Collections. Luckily, there is an issue for that: https://drupal.org/node/1589118
And that issue has some patches and some testing, so I'd probably just try it.