These tests you are displaying are more likely to be functional tests.
Regarding if they are overkill, it is up to you to avoid let testing rule your application.
Taylor, has mentioned once in the podcast, that he gave up on unit tests. This means he leans to functional and acceptance testing.
Jeffrey has an excellent book regarding tests and Laravel. It is for Laravel 4, but it is that good anyway.
https://leanpub.com/laravel-testing-decoded
Here are some other fine resources regarding testing in general:
http://david.heinemeierhansson.com/2014/tdd-is-dead-long-live-testing.html
http://everzet.com/post/99045129766/introducing-modelling-by-example
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