The soap looks good in your pics. I'm wondering if the white spots in the one batch is the TD which didn't get fully blended. TD is tricky to work with and there are differences. TD can either be manufactured to be water dispersible or oil dispersible. Which type do you have?
pure&simple posted her method on rebatching which you might find helpful. viewtopic.php?f=1&t=28489
pure&simple posted her method on rebatching which you might find helpful. viewtopic.php?f=1&t=28489