What does it mean for the old man to see a pigeon on the table?

There is no definitive conclusion about 1, because different cultures and beliefs may have different interpretations.

In the traditional culture of China, pigeons are usually regarded as a symbol of peace, happiness and friendship. Seeing a pigeon on the table may indicate family harmony, peace and happiness.

In Christian culture, the white dove is often regarded as a symbol of the Holy Spirit, symbolizing sacred power and God's blessing.

Generally speaking, seeing a pigeon at the dinner table may mean some positive information, but the specific meaning needs to be interpreted according to the cultural and religious background.