Well, I can answer your question as regards to birth control, having used various type of birth control for about 20 years.
I have never heard that it's good to "take a break" from the pill, nor has my doctor ever advised me that it is necessary. As a matter of fact, my doctor told me that with my family's history of breast cancer, I would be better off staying on the pill until hit menopause. I have currently been on the pill for the last three years - no breaks and as stated above, I don't plan on taking any.
As far as using a back up method of birth control, When you start taking the pill, you should using a back up method for the first month, or 30 days. However, if a woman starts taking the pill on the first day of her period, a back up method is not necessary. If a woman is on certain types of antibiotics, it can reduce the effectivness of the pill, so a back up method is recommended. If a woman misses more than two days of the pill, then another method is recommened until she her next cycle.
If I were you, I wouldn't try to "figure it out." Ask her straight out what's going on. Tell her your concerns, as you stated here. Tell her you are concerned about her lack of interest in conversations with you and that you want to make sure that both of you are happy and satisfied in the relationship. See what her response is. Without more information, I don't have anything else to add.
Hopefully I helped with the birth control questions, but that in of itself isn't necessarily an indicactor of anything. As far as the female perspective goes, the guys on this site are just as knowledgeable and helpful as we are.