It's possible, lots of people I know fall pregnant within a few months of giving birth... Just have to wait until you can do a test. Just relax! Even if you are pregnant it's a good thing!!
It'd totally possible. Everyone told me I wouldn't have a period if I breastfeed. I did. The whole time. And my sil got pregnant a month after having her baby while bf. So yes, if u are not trying to get pregnant, use something
Very likely you're fertile :)