Hi
As you told The first image shown a task working well, and the second image shown a task with the bad operation.
So would you like to open Task in backend apect or SAP NW Portal Aspect.
Is the Task is custom defined or standard Task?
All the task will be controlled from backend SWFVISU table and Workflow.
I would suggest you that please double check for that task what parameters are defined in SWFVISU and Workflow in the backed system.
BR
SS