Tantrums
Put the blue bow in and let her tantrum in her room. Shut door and ignore.
If in public, remove too car, put in car, shut door, stand outside the car tikk she stops. Alternatively take her directly home and ignore tantrums in car. When tantrum stops tell her that tantrums will get her nothing and as she has tantrummed there will be no nice things that day (sweets, tv, etc)
Rudeness
In your example, if my 3yo DD did that, she would get no prize and be taken directly home and treated as though she had tantrummed.
Walking
If she doesn't walk, she doesn't go. So say you go to town, park car, if she wants to go to Gregg's, toy shop, sweet shop wherever, make it clear she's walking, if she doesn't walk, she doesn't go.
Sleep
If she wakes and wants you, send DH.
If she tantrums, shut her door and leave her to it.
Sounds like she has to see that her action won't get what she wants.
If everutime she screams for mummy and mummy comes she's learnt that her screaming means what she wants to happen will happen.
Every time she acts spoilt but people given in to stop her cryin or whatever then she's learnt that acting that way gets what she wants.
Same as sleep, when she wakes and shouts for mummy, when mummy comes running, she's learnt her action results in what she wants