I don't know much about Angular-localStorage or the karma config to make it work but, if I understand correctly, I think I can help with your second question.
It sounds like you want to use the value of some variable in the description of a test. Assuming that is correct, you should be able to use basic string concatenation (or any other mechanism) like so:
it('shows the string: ' + test, function() {});
To create a test based off of the value of a variable at suite declaration time. Note that setting this in a `beforeEach` will not get you what you want.
Hope this helps. Thanks for using Jasmine!
- Gregg