This answer just will not occur. You are half correct in that the bromine atom on the benzene ring will not react in a SN2 reaction but you are not correct in what you have done with the carboxylic acid group. Carbonyl groups do have positive character at the carbonyl and are susceptible to nucleophilic attack. The proton of the hydroxyl group is more positive and will react much faster forming the carboxylate anion. The negative charge of the carboxylate anion will effectively repel any further attack by most nucleophiles.