First week of working out and eating well and lost nothing !! :(

Increasing exercise usually means you retain water weight in your muscles for repair (they usually feel sore), it can't be helped and will eventually dissipate. I know it's annoying but you probably won't get (slightly more) consistent results until you're a month in. You already know the answer though deep down, just be patient, if you're burning more cals than you eat (edit: by accurately weighing and measuring your food and beverages and not over estimating cals burned from exercise) you will be losing fat even if you're retaining water. x Good luck.

Edit: and as for weighing yourself, totally up to you, I weigh everyday and can have fluctuations of 3 pounds some days especially TOM, it's just background noise. As long as at the end of every month I've made progress all good, weight loss isn't linear, we are complex bags of meat and digested matter it's not like letting air out of a tire. x

Your own words from your profile....
"Have repeatedly lost and gained around 5 stone, yo-yoing for a good few years now. Determined to get it off and keep it off! I am embarking on a weight loss journey and a journey to live a healthier life in general. "

If you expect to see results in a week then it's another yo-yo.
Start of a "journey" is the hardest part - it's also just a tiny part.
To live a healthier life (what a lovely sentiment!) then you need to adopt and commit to long term habit changes, that takes time and patience. It takes resilience to ride the bumps and learn from the mistakes and set backs which will inevitably happen.

Look months ahead, not days.

I agree with the comment about your diet, fat and protein are important for health and your sample day seems far too low in both. This is a good read.....
http://community.myfitnesspal.com/en/discussion/819055/setting-your-calorie-and-macro-targets/p1

Keep in mind that weight training builds muscle and muscle weighs more. Weight training is considered an anaerobic exercise, which targets your individual muscles. Because you’re not jumping around and moving your entire body, this type of exercise doesn’t require oxygen, and only burns carbohydrates.

Try incorporating short bursts of aerobic exercise, which, is any activity that uses your arms and legs to move your body. When your muscles are used in continuous (and generally easy-to-perform) rhythmic or repetitive motions, increasing your heart rate and respiration increases while building your physical endurance. Aerobic exercise uses oxygen to burn fat and carbohydrates, producing energy. (This could be anything that raises your heart rate for a sustained period.)

Many people who alternate between anaerobic exercise and aerobic exercise find that they develop more stamina and can train "harder" when lifting weights.

Regardless of your workout routine, you lose weight when you maintain a calorie deficit. Questions to ask yourself:

1. How many calories am I eating each day?
(Weigh all of your food; log in your meals consistently)

2. What is my calorie allowance for my TARGET weight
(http://www.calculator.net/calorie-calculator.html)
Simply plug in your age, gender, height and your goal weight; use the "sedentary" setting. This will tell you how many calories you can eat today and still lose weight, and, it's usually less restrictive and more sustainable than trying to cut deep into your calories to lose weight while you are exercising.

3. What is my ratio of good fats, protein, carbs and sugar?
(Note: Try to keep your carbs at 100g to 150g and your sugar around 55g. Increase your protein / good fat intake to satiate your appetite / obtain your calories for the day.) While this is considered "low carb / low sugar", it's a reasonable amount and shouldn't make your feel too restricted and it is enough to keep you healthy. The Weston A. Price foundation nutritionists indicate that going below 100g carbs is not good for your thyroid. It will increase the rate at which you burn your own body fat.

https://www.westonaprice.org/health-topics/abcs-of-nutrition/why-we-need-carbs/

Here's some information about the ketosis process and how it works with low carb diets:

https://www.ruled.me/ketosis-ketones-and-how-it-works/

Regardless of what you decide to do, it does take time; wait and see what happens in about a month. Even if you continue on your current path, you should lose inches as you burn carbs and your clothing may feel a little loose after sufficient time has passed.