The past participle of plaire is plu.  To say that someone likes something, you have to switch the subject and object around, so that literally it translates to "something or someone pleases."  As a reflexive verb, se plaire means to enjoy being somewhere.  Faire plaisir à can also be used to mean "to delight or to like."

Cette chienne plaît à Dominique.  Dominique likes this dog.  (Literally:  This dog is pleasing to Dominique.)
Ça t'a plu?  Did you like it?
Ils se plaisent à Londres.  They enjoy being in London.
Cela me fait plaisir de vous revoir.  I am happy to see you again.

Manquer has several meanings: to miss, to lack, or to regret the absence (miss).  The last meaning uses inverted word order just like plaire.  Manquer à means "to fail to do."

Elle a manqué le train.  She missed the train.
Vous manquez de courage.  You lack courage.
Tu me manques.  I miss you.  (Literally:  You are missing to me)
Ils ont manqué aux devoirs.  They failed to do the homework.