OK, since you have not answered my question about the I-129S, I will answer your question assuming you are not.
ANSWER: If you are coming back on AP based on the employment-based adjustment of status, then you will require the AP document, evidence of the filing of the I-485, and a letter from your employer explaining that the job offer is still valid.
If you are coming back on AP for a family-based immigration case, then all you need to come back is the AP document and evidence and the I-485 receipt notice.
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