Feel like I gained weight but scales say different

I'm the opposite. I'll feel like I've lost weight but I've really gained...

Well if you are weighing yourself at the same time of the day and the scales say you've lost a kilo then you have. It could be that you are bloated, have you been trying new foods as part of your weight loss plan? Weight alone isn't the best indicator so I would suggest that from this early stage you get into the habit of taking your measurements, these can be more useful especially as it seems that you don't have much weight to lose and are looking to change body composition.

Finally, good luck with your goals, and try not to worry about the number on the scale too much, you'll soon see the difference in how your clothes fit.

Sounds to me like your stomach's full mate. Give it a day and weigh yourself in the morning, you might even find you weigh a little less.

But it wouldn't make my stomach look bigger?
I also feel a bit fatter on my face

Hrmm... that's a bit odd.

To help shed some light, let's look at some facts:
The human body does not redistribute fat around your body, from your stomach to your face, in the span of a week.
It is quite impossible to lose a full kg of muscle in one week, and you can never lose bone mass.
So its safe to assume that kg is fat loss.

I'd definately suggest at this point that you may just 'feel' like you've gained more weight. This happened to me when I first started exercising. I called it 'phantom weight' because I'd run and attempt to lose weight but for the first few days after working out, however the physiology of my body works, it put extra weight onto my body.
I also started doubting that I lost weight at all, and saw all the 'problem areas' that I've become well attuned to point out to myself.
If you give it time, I mean a good 5 days at the least, you'll notice a longterm change if you maintain your exercise and eating routine.

What I'm trying to say is this - don't worry about this right now. It could be a combination of simply in your head and your body adapting. Sounds perfectly normal to me. Just give it some time.

If you are worried, see a doctor. Better safe than sorry.

Sounds to me like your stomach's full mate. Give it a day and weigh yourself in the morning, you might even find you weigh a little less.

But it wouldn't make my stomach look bigger?
I also feel a bit fatter on my face

You sound bloated. Food and water can make your stomach and face look bigger! Especially water