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When an ionic compound such as NaCl goes into water, it dissociates into Na+ and Cl- ions. So does Pb(NO3)2, dissociating into Pb(2+) and NO3- ions. So an ionic equation would be writing out problem 6d, only with ions instead of the compounds.

It is a good rule of thumb to memorize that alkaline ions and nitrates are ALWAYS soluble in water. Other ions may or may not precipitate depending on the other ion.

So, when you write out the ionic equation, you notice that some of the ions remain unchanged. These are called the spectator ions of the reaction. When you exclude these spectator ions, you get a net ionic equation. Hopefully that helps~

Also: in the redox reaction, bromine gains electrons; it's the species that's being reduced. You had it the other way around.