This can be a simple procedure, but a lot depends on the complexity of your starting material.
HBr is a very strong acid and not necessary to remove CBz. One of the big upsides of CBz is that it can be easily removed by hydrogenolysis and your product recovered in high yield simply by filtration. If you have anything else sensitive in your starting material the HBr could cause a lot to go wrong with it.
You said you have 2 amines, does it matter which one reacts to close the lactam? If the answer is yes, you have a serious problem that may require re-working your synthesis.
The cyclization will likely not proceed spontaneously with a free acid/free amine, you will need to activate the carboxylic acid. A peptide coupling agent like EDC will be sufficient. Again, this depends a lot on what type of functionalities are on your starting material.