Most people will tell you that when you're doing a low carb diet, you shouldn't pay that much attention to calories because they'll naturally be low when consuming the proper macros (e.g. high fat, moderate protein, and low carb.) If you feel like you're starving, then I would up my intake if I were you

Also, as you said, 30 carbs is high for induction. Are you getting enough fat? I ask because if you're eating high fat, and moderate protein the carb count will come down.

Also, I don't think apples are induction friendly so this might be working against you as well.

Once a week or so passes you'll be past the keto/atkins flu and you'll feel much better.

Personally I do keto (my way of eating is pretty close to that of the atkins induction) and eat anywhere from 1k - 1300 calories depending on the day, and I usually keep below 15 net carbs (you get this by subtracting the fiber count from the carb count.)

I don't even track my food intake anymore. I just make sure to keep my carb intake low. I tracked on MFP for the first two months. After that, I'd learned what the carb content of most foods is. As you can see LCHF is still working for me.

I set mine at 1100 but allow 1200 when I do sport. I follow a high protein low carb diet (Dukan) which works really well for me and is lower in cholesterol. I think its very difficult to maintain 20g carbs if you do a lot of sport. I noticed that I was unable to do the high intensity exercises I had been set without some carbs before going to the gym (even if just a tablespoon of oatbran).

Mine is set at 1,330. I exercise at least an hour every day (haven't skipped a day since before December 26th). I try to eat above 1200 and to always be under my calorie goal with exercise (meaning I will sometimes go a little above the 1,330 since I "earned" calories from exercise, but I never want to be in the red even if I have "cheat food" I will just add extra exercise). My settings are 15% Carbohydrates, 25% Protein, 60% Fat. I don't think it hurts to go higher on calories and many people have had great success not concerning themselves much with calorie counting, but I just do it this way because this is what seems to work for me. I'm not certain what my average net carb intake is, but I usually end up being between 20-40 net carbs (I subtract both fiber and sugar alcohol [if I have any]) per day. I hope this helps!

Also, Don't worry too much about small gains. I weigh myself almost every morning on the Wii and sometimes I'll sit at a few pounds above my lowest recorded weight for a couple weeks even though my diet or exercise routine hasn't changed much, but I've started to notice a pattern where after a long plateau I know a big loss is coming. It just takes time for your body to adjust sometimes! I think of it like my body really tries to stay this weight and I have to teach it the same lesson over and over until it gets it.

I would be careful eating that low. You want to burn fat, not muscle. Where your carbs are low, you want to eat a bit more. Atkins recommends 1500-1800 calories a day, closer to 1500 for women. Don't starve yourself. Slow and steady is healthier.

Once you hit maintenance, you'll want to be able to eat "normally" without gaining weight.

1850 cals 66% protein 33% fat to retain muscle.

Very strict, worked a treat for weightloss but last night on a thirteenth night i had a sudden bout of chest pain and am spending the day loading carbs gently.