Incorrect. For a few reasons:
Bromine is not good enough as an electrophile to react with an aromatic system. You need some sort of catalyst like AlBr3.
Nitric acid alone will not react with an aromatic system. Again, you need additional reagents, this time conc. sulfuric acid. A mixture of conc. sulfuric acid and conc. nitric acid will generate nitronium ion, which is a good electrophile for EAS.
Bromine is an ortho/para-dirrecting group because the halide's lone pair can be donated to the aromatic ring. Bromination followed by nitration results in o-bromonitrobenzene and p-bromonitrobenzene. In order to obtain the meta product, you must nitrate first. The nitro group is a strongly electron withdrawing group, so it is meta-dirrecting. Bromination of nitrobenzene will result in m-bromonitrobenzene.
I would suggest reading over the section on electrophilic aromatic substitution in your book to learn the reagents you need to perform all of the basic EAS reactions (halogenation, sulfonation, alkylation, acylation, nitration, and amination) as well as reviewing your ortho/para dirrecting and meta dirrecting groups.