I think it is possible that the owners aren't looking. Like the yorkie who showed up on someone's doorstep a few months ago, and it turned out that it belonged to an older woman with dementia who had gone to a nursing home.
The OP gave us an update yesterday and it sounds like she is doing all she can.
To the OP - it's possible his breath is bad because he still has some baby teeth holding on. If you end up keeping him, you will want to get those removed.
Thank you again for taking care of this little guy, and please keep us posted.