Golden rabbit sends blessings into the house ~ auspicious gathering wealth and increasing wealth ~ which is the first couplet?

"... increasing wealth" is the first part.

Generally speaking, the tone of the last word is used to distinguish the upper and lower couplets. In standard couplets, the first sound of a word is the upper sound (three or four tones, including the ancient rhyme entering tone), and the last sound is the lower sound (one or two tones).