So you just started taking this different kind of birth control from the clinic?
You need to ask someone if the estrogen levels are the same. This new pill could have a little more, making you more emotional right about when your period is about to start. Your body produces more during that time on it's own, plus your birth control estrogen levels get higher each week until the sugar pill week.
Just throwing that out there.
I think that since you are getting the free ones, you should continue taking those for 3 months and give your body a little time to adjust. If you still feel like an emotional train wreck during that week, you may want to consider asking about a lower estrogen pill.
Or, if you get approved for free birth control, no matter what.. you may want to look into the Mirena. It worked for me, anyway.
I felt crappy for about 6 months but now I don't have any spotting or anything at all. The best thing about it is that it can be removed whenever I want to-if I decide I want to try for another child. And I will be fertile as soon as it is taken out. You don't have to worry about antibiotics messing them up or worry about forgetting to take it either.