hi vivi,good on you for wanting to take a hold of your life. As far as i can see, to lose weight,your output must be more than your input. So since you have such a tight schedle,the only way that might work for you is to reduce your food intake (more carbs,less carbohydrates) and try to increase your sport activites. The recommended limit is normally 3 to 4 days of exercise per week (more or less 1 hour each day) but since your schedule doesnt permit it, i would suggest you stop playing badminton and go for higher intensity exercise.

One of the best methods to go for losing weight is a training called HIIT. Or High Intensity Interval Training.

In a nutshell, its basically doing cardio exercises (swimming,running or cycling) in intense intervals. Here's how i do mine :

I jog every other day of the week.
I start off with a warm up stretch and have 2 slow jogs round the course
I then start my HIIT by gsprinting at 80% of my capacity for 15 seconds then resting for 30 seconds by toning down my speed and effort to about 25%.
I then sprint up to 80% again after the rest period and repeat for about 10 sets. ( [15 sec sprint + 30 sec rest] x 8).

After that its straight out jogging at normal speed for about 15 mins.
I finally end my day with more HIIT. This time sprinting at 95% capability for 6 seconds and resting for 12 seconds. REpeat a total of 6 sets cuz thats as far as i can go for now.

HIIT is very intense and your supposed to start off slow. Like having a 20 second medium intensity jog with a minute rest in between. I've been doing the training for a bout a year now and i feel im comfortable at that limit. Its helped change my life so now im passing on the info to you in hopes it will do the same for you

best of luck and if u need any more info,i'd be glad to help yo out. Just give me a pm. Cheers !

Haha thats ok then,just do whatever you can. Also,dont beat yourself up just because you had some ice cream. I mean it wont help you lose weight but come on,its not like your eating whole TUB of ice cream by yourself

For your exercises,if you want some intense cardio,you can just buy a jumprope. And guess what?you can do hiit with a jumprope also