My 1year & 8mths daughter

I started to worry my 1 year & 8mths daughter...She is getting more & more naughty as her dad pamper her too much. She can cry like someone torture her and then hit her head on the floor whenever her desirer is not being fulfilled. Her dad worry her head so much & thus will try to fulfill all her desire...but that is not the right way! She can not use that to threaten her parents right? We have decided to change our parenting style after consult with paediatrician, effective last saturday. The result was good, she can sleep at 11pm and wake up at 9am without crying/yelling/demanding for nothing. But when bring her for shopping & dinner, her behaviour still like that: running all the way and grap the toys, and refuse to sit quietly on the stroller but request for hug; or refuse to sit quietly on the baby chair after she had her dinner. Hai...we need to put more effort on this and hope we can success one day!