Dull pain near liver/under rib cage, that comes and goes when move certain ways. Recently started working out. Pulled muscle?

Could be. It is good that you are exercising. You may take a bit easier with exercise till this heals and then gradually increase the intensity of exercise.
For good health - Have a diet rich in fresh vegetables, fruits, whole grains, milk and milk products, nuts, beans, legumes, lentils and small amounts of lean meats. Avoid saturated fats. Drink enough water daily, so that your urine is mostly colorless. Exercise at least 150 minutes/week and increase the intensity of exercise gradually. Do not use tobacco, alcohol, weed or street drugs in any form.
Practice safe sex, if you have sex.
Get HPV vaccine.