Translation of "to chase" into French

Him continuing to chase after me is a terrible decision, which makes me respect him even less.

Qu'il continue de me courir après est une erreur, qui me fait le respecter encore moins.

My mom used to chase me around, but she didn't chase me with her legs she chased me with her arms.

Ma mère avait l'habitude de me courser tout le temps. Mais pas en courant.

No matter where he went, someone or something would try to chase him down.

Où qu’il aille, quelqu’un ou quelque chose essayait de le pourchasser.

I got to chase Twice as many bad guys tomorrow to burn it off.

Je devrai poursuivre plus de méchants pour éliminer.