Is it a condition for offering prayers upon the Prophet (PBUH) to cover one's 'awrah, purify one's mouth, and ensure there are no unveiled women in front of the worshiper?

Praying upon the prophet (peace be upon him) is among the remembrances that carry immense reward. Whoever devotes all his supplications and prayers to the Prophet will be relieved of his worries and have his sins forgiven. Although dhikr (remembrance of God) does not require a pure mouth, covering the 'awrah, or the absence of an uncovered woman, these are considered among its recommended manners. Among the manners of dhikr are: purifying the mouth (though if one remembers God while there is impurity or an unpleasant change in the mouth, it is disliked but not forbidden), covering the 'awrah, having a present heart and contemplating what is being said, along with lowering the gaze from what is forbidden to look at. Generally, it is recommended to increase in the remembrance of Allah in all circumstances and not to pay attention to the whispers of Satan.