Who is good at chemistry? help!

i have a test on ionic and net ionic equations and was hoping someone could tell me the answer to 3 questions that im not sure if the answers are right. I asked it in an earlier question and im crunched for time. Please please help me out! thank you so much guys! <3
http://answers.yahoo.com/question/index;_ylt=AifBkOsD8rMeaT_vTjHlzODty6IX;_ylv=3?qid=20120423131736AAsJpNS
thats the link to my previous question that i need help on!

The formula for barium carbonate is BaCO3, not BaCO2
When BaCO3 dissolves in water, it dissociates into the 2 ions, Ba+2 and CO3-2.

H2SO4 is sulfuric acid. When H2SO4 dissolves in water, the CO3-2 ion will attract the 2 H+1 from the sulfate ion. This forms H2CO3, a very unstable, weak acid. H2CO3 will decompose into H2O and CO2 gas.

The Ba+2 ion and the SO4-2 ion will bond together to form BaSO4.
Barium sulfate is not soluble in water, so it precipitates to the bottom of the beaker.

The process is shown by the reaction equations below
BaCO3 + H2SO4 → Ba+2 + CO3-2 + 2 H+1 + SO4-2
CO3-2 + 2 H+1 → H2CO3
H2CO3 → H2O + CO2↑ (the arrow indicates that the CO2 gas will bubble up and out of the solution.

Ba+2 + SO4-2 → BaSO4↓ (the arrow indicates that BaSO4 is a precipitate)

The net equation is shown below.
BaCO3 + H2SO4 → BaSO4↓ + H2O + CO2↑