Do exercises such as squats, lunges, push-ups, planks, and jumping jacks help with weight loss?

Yes: Exercise is very important for overall health and building muscles. It increases the release of growth hormone which is very helpful in combating obesity. It works best when combined with a health ydiet divided into optimally 6 equal meals, a good night sleep of 7 to 8 hours, and good stress management. See the will power instinct by kelly mcgonigal for tips on staying on a healthy path.

Yes: Along with cutting calories , don't eat junk food if you eat 2500 cal and burn only 2000 , in spite of your exercises you will gain weigh , to loose 1 lb of body fat you gave to burn 3500 calories , not easy task