Even if you are correct(which you are not) i.e. 2-hydroxy-3-Bromo butanoic acid, this doesn't make sense, as when there is a choice between which group should be at lower number, the one coming first alphabetically is given the lower number.
This means 2-bromo-3-hydroxy butanoic acid(which is the right answer).
And indeed Carboxylic acid carbon is numbered as 1.