I had my son a month before your birth, losing weight post-baby can be a bit of a challenge. If you are breastfeeding, that can often ratchet up your hunger a bit, and your body needs more calories (about 500 a day extra) to maintain your health and milk supply. If anything, you may be eating too few calories for your activity level, if milk production is in the mix.
I'd stick to around 1500-1600 calories a day for a few weeks, with some moderate activity, and see if the scale moves. You don't want to underfeed your body when your metabolism is ratcheted up post-baby. Going down to 1250 seems like a very bad idea, given how much you may be losing to breastfeeding.
I weigh a lot more than you, but with nursing I can eat 1800 calories a day and lose 2.5-ish pounds per week. If I ate much less than that I'd be painfully hungry, as well as seeing my supply drop off. It's not worth it for some pounds lost!
Be aware, too, that breastfeeding hormonal changes will cause some extra abdominal fat to stick around until you are done (generally guessed to be about ten extra pounds for buffer), so if you are quite close to your body's optimal weight you may not be able to shed those bottom pounds for a few months. If that turns out to be the case, I recommend focusing on strength training instead, and that will likely give you a visual change, even if the scale hasn't changed.
Congratulations on your baby, good luck with the loss
