Must one wash his hands after the above actions even if he does not plan to learn Torah or Daven afterwards?[1]
Yes. One needs to wash his hands after the above actions even if he does not plan to pray or learn Torah afterwards. The reason for this is because an impure spirit resides on one’s hands after these actions are done and hence needs to be removed irrelevant of Torah learning or prayer.
[1] Ketzos Hashulchan 2:11; Admur 97:3 regarding touching a louse; Peri Megadim 227 A.A. 2 regarding leaving a bathroom without using it that one may say a blessing although is to wash hands due to the impure spirit; Nevei Shalom 4:12 brought in Kaf Hachaim 4:90
Other Opinions: The Mamar Mordechai 4:10 writes that one who does not plan on learning is not required to wash his hands. However see Kaf Hachaim ibid which says even according to him, Lechatchila one is to wash his hands to remove the evil spirit.