Sounds like you did the right thing.. glad everything is okay now~! Don't ever give in, because once you do.. it will continue and make everything actually worse in the long run
I had to watch my little sis growing up (we are 11 years apart) and man she had THE WORSE TANTRUMS.. she was the 3rd child and so my parents were more lenient with her and let her get away things whereas I never was able to.. so I had to babysit her pretty much everyday and she would do the whole BIG tantrum thing. She threw up too but I learned that if I give in just because she threw up she might make that a habit or something so I never gave in and she stopped, learned to listen, and be obedient (most of the time
). so even though she still gets her way with my parents she doesnt get her way with me or my older sis!