well done for surviving the first week - it can be really tough as the body craves carbs like the devil! you have got past the hardest bit.
i've been low carbing for 18 months or so, close to atkins style but i haven't read atkins so my comments might deviate from his advice. however, based on my own experience, i would make the following comments on your meals:
BREAKFAST- egg and bacon, omelette
this looks like a great breakfast, hopefully you cooked in butter to make sure your fat intake was nice and high to keep you full? if you wanted to add more veg you could add some spinach perhaps to this? also it may be worth not having bacon every day as it's quite highly processed so not as healthy as fresh meat
SNACK- 20g cheddar cheese snack (don't always have this)
no problem with this, as it's not very much cheese and i think atkins advises against too much dairy. once you get into the swing of it, you will likely feel much less need to snack
LUNCH- cold meats, salad, tomato
again, looks good, though be aware of how processed the cold meats are (cold leftover roast is fine of course), and hopefully you added plenty of oily dressing and/or full fat (low carb) mayo? keep an eye on the tomatoes as they can get a bit carby
SNACK- diet lemonade (no artificial sweeteners) or sugar free jelly (again, don't always have this)
i'm not sure how diet lemonade can be free of artificial sweeteners - is it sweetened with sugar? either way, if you can, try to avoid sweetened things for a while as they won't help you kick the carb cravings
DINNER- meat, green veg or salad, raspberries and a small dollop of cream for pudding
looks good, again you should be adding butter to your veg, oily dressing to your salad, cooking in butter and using fatty cuts of meat as much as you can. no problem with the cream (if you don't have a problem with dairy) but the berries will increase your carb intake and could potentially perpetuate the cravings for sweet flavours
as i say, i haven't read atkins, but the reason for the induction phase being very strict (e.g. no berries) is i suspect to do with reducing the cravings for carbs in the longterm. although it can make you feel a bit unpleasant for a couple of days, once you get out the other side you feel fantastic.
you've had a couple of off-plan moments this week, but still have a very good loss, which i am sure is to do with the fact that you have drastically cut your carbs overall compared to before. just be aware that in the longterm you might not be able to get away with going off-plan this frequently, and it might not help you move away from craving carbs. your strictness though depends on how quickly you want to lose weight - you may prefer the 'scenic' route, which is ok, life happens. i think a stone and a half in seven weeks is quite ambitious though, and with this WOE (way of eating), weight loss can slow for weeks 3 and 4 quite often, before it picks up again. i could see you getting close to 10st though, and because you don't have the bloating effect of carbs you would likely find that you look and feel slimmer at that weight than you did before.
the thing about this WOE is that it is very good for longterm weight loss because once you have got over the initial carb cravings and your blood sugar levels are under control you are less hungry, less likely to snack, less likely to crave sugary/carby foods. you can eat big, satisfying meals, and eating in restaurants is relatively easy (compared to if you were trying to eat low fat/calorie). although it is not very forgiving if you go off-plan (if you eat carbs your glycogen stores will replenish, which can see 3-7lb go on overnight - it's not fat, and it will go within a few days if you go back to strict low-carbing, but it can be a bit of a shock on the scales!), it's much more sustainable in the longterm, as you can see by the length of time i have been doing it (i don't really have much if any weight to lose now, i'm sort of maintaining or losing about 2lb a month depending on whether i have many social occasions, but i love the other benefits this WOE brings, like clear skin, no tiredness after lunch etc)
sorry for the mammoth post! have you read into low carbing? it can really help to understand why you should be making these food choices.