(Scikit-learn) differences between LinearSVC, 'linear' kernel SVC and poly kernel SVC with degree 1
You can see in the user guide that the first two will not produce the same results.  In the multiclass setting, LinearSVC uses one-vs-rest while SVC uses one-vs-one.  Aside from that, the solver used is also different, and because of that some of the options differ.  See LinearSVC docs, SVC docs. 

I suspect the third will be the same as the second.  I don't see anything in the source to indicate it quickly, but it shouldn't take long to test.