You haven't said how long you've been on the strict Paleo diet, nor what your goals are. Are you trying to lose weight? You mention trying to clear up eczema, anything else? That might help get better answers.
When my wife had our kids, she was advised to eat another 500-1000 calories or so per day when she was pregnant, and then ANOTHER 500 or so additionally when she was breast feeding. I know you don't want to obsess about calories, but that was nearly double her normal calorie intake. That can be a lot of food, in fact she had trouble even eating that much (she eats slowly) and supplemented with protein shakes and the like.
Many women in your situation are trying to lose their pregnancy weight, so running a slight calorie deficit might help with that. Please don't take this the wrong way, but at 5'7" 230# you could probably lose 20-25% of your body weight and feel much better.
I would definitely make sure that you're eating enough while you are breastfeeding though, if you cut out too many calories you might start to impact your milk supply. Just eating enough might be more important than having a perfect diet, at least initially. Breast feeding can be a great way to help you lose the weight (and is part of the beautiful symbiosis between mother and child) but you don't necessarily want to overdo it. Based on what you say you're eating, I think you aren't at risk for undereating.
Some people have trouble feeling "full" on this diet at first, especially if they had been used to eating lots of starches, because things like bagels and bread are filling even though they aren't very nutritious. For the first week or two there can be an adjustment period where your body is getting used to eating more protein and fat and less carbs, and isn't getting the insulin kick it is used to. This usually goes away before long as your body adapts.
Speaking for myself, when I go 100% Paleo and low carb, it is an appetite suppressant. I can now easily skip any meal (and often do), and often eat only once per day, without even noticing it much. I'm just not that hungry. By the time dinner rolls around I have often had only a few 100 calories, really just snacks.
To help feel satisfied, you should eat foods high in fat (sounds like you are), and wait 15-20 minutes after a meal to see if you're really still hungry or if your body is just craving that insulin spike.