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My prediction are such:
Compound 1- should be fully consumed since we have excess benzaldehyde , and it will not have other side reaction as the carbonyl should not be reactive(as in acting as electrophile) since it is ketone (while we still have aldehyde in mixture) and it has alkenyl substituent group (which further decreases its reactivity as electrophile).
Compound 2- The desired product and major product. The main isomer is the E,E isomer since E1cB would prefer a less hindered and stable isomer (usually E).
Compound 3- Should most likely undergo the dehydration in the basic condition.
As for compound 4-6 I do not know whether they will be existent in the reaction mixture.
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Although (6) has the correct number of carbons, (3) and (5) do not. I suggest numbering (1) and finding those atom numbers in (3).
I don't know what is expected for this problem, however I suggest you read your analysis. It contains good advice on predicting the products. It suggests compounds 4-6 would be unlikely to form in any great amount. Agreed.
Which do you think would be more likely, self condensation of acetone or an E,E, E,Z, or a Z,Z mixture?