Of course you can do it OP!
PP has mentioned general health, which is important, but you've asked about calorie counting so I'll answer that as I have experience with getting good results.
Keep it simple. Basically you need to work out your basal metabolic rate, or how many calories you expend each day just by being alive, doing nothing. You can Google plenty of sites that do this for you. They also provide numbers for various amounts of exercise.
I've just tried one with your details, and with moderate exercise (4 or 5 times a week) it gives around 2,500 cals per day.
This means if you consume 2,500 a day, you'll maintain.
The general rule is that to lose a pound a week, you need to knock off 500 cals.
Therefore if you consume 2,000 a day, you'll lose a pound a week... on average!!!
Yes, remember it's an average. You'll have weeks where you lose less, or more. But if you stick at it over the long term, you'll pretty much hit a pound a week or a stone every three months. That's a sensible rate long term
And also remember to recalculate your BMR every few weeks as you lose weight, as it will reduce so you'll plateau if you stick with the same.
One last thing, muscle is "hungrier" than fat so you'll do better if you include some wright-bearing exercise, even if it's only light stuff or bodyweight exercises.
Good luck!