You're correct about the connectivity of the final product. The charged intermediate you initially drew gets depronated by something else to give a neutral product. If you're not sure, 99% of the time you're drawing a neutral major product.
Addition of the sulfate ion, as you initially drew, will always be a reversable process because sulfate is a good leaving group. In contrast, once the water addition loses a proton the addition is irreversible because OH- (hydroxide) is a terrible leaving group.
Also, that reaction almost certainly gives a horrible mixture of diastereomers, neither of which are chiral. Technically there are two stereocenters in that compound, that is atoms where a flip in configuration can result in stereoisomers. In this case flipping the configuration of one relative to the other will give a diastereomer. There are however NO asymmetric centers in that molecule. Another example of a stereocenter that is not an asymmetric center is an SP2 carbon where switching the configuration of an R group would result in Cis/Trans or E/Z isomerism.
Are they really asking you to predict the major diastereomer, or just predict the major regioisomer?