Although I slightly disagree with the exact phrasing of the above statement, it is somewhat true, and you should consider adding some movements, such at lateral raises for side deltoids, vertical pulling movements for back,hamstring isolation, possibly some tricep isolation to target all the heads that aren't stimulated very well through close grip bench alone,etc etc etc.
Also to the OP - I didn't realize you were training back to back days, I thought it was A/off/B/off/A/off/B/off etc.
Why don't you try doing Lower+Biceps / Off / Upper / Off / Lower+Biceps etc?
You may find you get better recovery & results that way. Doing your entire upper body in one day, especially for bodybuilding is just downright silly IMO. There's a reason nobody does that unless it's a "power-oriented" day.