Is it permissible to wear a sanitary pad all day and pray with it if a few drops (of urine) are discharged due to stress, and what should a person do while at work in this situation?

If it is an illusory feeling of drops exiting, then it should not be heeded, and the default is that nothing has exited.

However, if you are certain of their exit: - If their exit is continuous without interruption that would allow for purification and prayer, then you should take precautions and perform ablution for each prayer after its time has begun, and what exits thereafter will not harm you. - If it stops for a known period that would allow for purification and prayer, then you must wait for that time.

Praying with a contaminated pad: This is not permissible according to the majority of scholars due to the failure to remove impurity. However, it is permissible to adopt the Maliki school's view on this matter in cases of hardship.