Katherine:

1. In general, you should be able to delete the payment batch, correct the vendors in Adagio, and recreate the payment batch as a mirror to the original. There are too many "if then else" that goes into answering your question about why that didn't happen. This question would be better answered by working directly with your Adagio consultant, if it were me I would want to see the data. There are better ways to deal with this issue "payment process fails" but listing all of the possibilities is beyond what I can do in a forum.

2. Which report are you referring to? Assumption, try Inquiries | System Cheque Run or Inquiries | Batches | Manual Cheque Batch

3. In addition to the Help file there are several YouTube video's available that explain Payable features. Otherwise, there are too many "in this circumstance with this result, how do I fix this problem" to be able to write a manual on how to troubleshoot every possible issue. As an Adagio consultant for 20+ years, I see new issues all the time as users find new ways to do things incorrectly.

The best training option would be to get your Adagio dealer to do a deep dive on the feature set with you.