I need to predict the acid/base reactions of sodium carbonate with HCl, CH3COOH, NH3, and NaOH.

I'm stuck, when I'm writing out the ions to find the strongest acid and base, does the NaHCO3 become Na and HCO3, or N, H, and CO3?

Also, would these be polyproptic?

NaHCO3 ==> Na^+ + HCO3^-

Carbonates react with acids to form a salt, water, and carbon dioxide.

Now the reaction with NaOH results in no reaction.
Sodium Carbonate with NH3 in a salt brine solution can be manipulated to give sodium hydrogen carbonate as a product. The ammonia acts as a catalyst. But without a chloride, I am not certain of any reaction.

Also, what would the disappearance of an odour, pH change, and presence of bubbles signify when the soduim carbonate (baking soda) was added to the forementioned solutions?

all those indicate a possible chemical reaction.

If the solutions are concentrated enough, NaOH will react with NaHCO3 to form Na2CO3 and H2O. If you are doing this as an experiment, feel the walls of the test tube to see if it gets hot.