What is the ruling on the sticky fluid that sometimes exits the penis with the effort of defecation, and how should one deal with the sensation of urine drops exiting after urinating, and does that affect the validity of prayer and purity?

The fluid that exits you is wadyy, which is a viscous white fluid that usually exits after urination. Its ruling is that it is impure (najis), necessitating ablution (wudu') but not a ritual bath (ghusl). As for the drops you feel descending after leaving the restroom, if your feeling them is merely an illusion or doubt, then disregard that, perform ablution, and pray, and do not pay attention to it. You are not required to inspect and verify; rather, it is permissible for you to act upon the basic principle, which is that you are not religiously addressed except by what has exited you with certainty or strong presumption. This closes the door to waswasa (obsessive whispering). However, if you strongly presume or have certain, firm conviction that a drop or more of urine has exited, then you are required to perform istinja' (washing the private parts) and purify your body and clothing from the impurity that has affected them. We advise you to be careful not to indulge in illusions and doubts, lest they lead you to waswasa.