You've got some great questions, endoffashion. I've done home visits for rescues and have a fair bit of exposure to them. Rescues are largely volunteer run, and it does take a good bit of time to research prospective owners.
Perhaps the dog you were looking at was a better fit with another family, and the Rescue didn't have time to respond to applicants that were no longer considered? I know that my rescue looks at matching very carefully with prospective owners (ie home life? shift work? children?) and references are the last thing checked after home visits. Each rescue runs with a different adoption policy.
Don't worry, your perfect match will come along, it just takes time.
Whatever you are.....be a good one.