I think it's incredibly unlikely the Intrarosa caused those symptoms. Even just the period, physiologically speaking, due to the hormonal changes needed to bring about a period it would take much longer than a week... it is likely your body was 'almost' there anyway and if anything it perhaps added and tipped it over the edge.
Periods are not 'bad' - if you had all that building up in there, you needed to shed it anyway. Otherwise you would have thickened endometrial lining... and there's no way that build up can have occurred in a week.