yes - it would help incredibly.
Too lose weight you need to do exercise everyday (anything that increases your heart rate) and eat a healthy balanced diet with minimal snacks and treats.
You also need to take in less calories then you burn. So the more exercise you do, the less you have to worry about what you eat (in theory.) The less exercise you do, the less calories you will burn, so you would need to take in less calories. Calories are energy so the more you take in the more you should be able to burn.
There is not an exact, precise weight loss that will happen by these exercises you have chosen but you will definitely notice a change in you. Your muscles may be more toned and you will definitely look healthier. They of course contribute to the 60 minutes of exercise you should be doing everyday, such as taking a walk, riding a bike, jumping around, skipping etc.
I don't know how old you are but a women's daily intake average should be around 2000 calories.
So if you are eating more then this daily you should aim to eat no more then this. If you already have this amount, cut down your intake to 1500 calories. That's similar to cutting out 2 chocolate bars a day. 1 pound of fat = 1500 calories so in theory if you cut down by 500 calories a day you should be able to lose 2-3 pounds a week which may not seem a lot but is a healthy rate to lose weight and won't hurt your body.
The amount of calories you burn also depends on your metabolic rate and this can depend on your height, weight and gender and even on things like your genetics and the temperature outside! It also depends greatly on your fat:muscle body ration so if you tone up, your metabolic rate will be higher meaning you will lose weight more quickly.
The squats,crunches and push-ups will all tone muscle and jumping jacks is a great way to get your fat burning and your heart pumping.
Top-set science and sport studies...If you need more help, put a question in the additional details bit and i'll edit my answer for you :)