Question: At first I thought that Jaws was chasing Bond throughout the movie, because he failed to kill him in the previous movie, The Spy Who Loved Me, but it turns out that he works for Drax now, whereas he first worked for Stromberg in TSWLM. As far as I know, Drax and Stromberg have nothing to do with each other, so is it purely a coincidence that Jaws now works for a new employer, which happens to be Bond's new target?
Answer: There's a scene where Drax is on the phone trying to hire someone to kill Bond. He says to the person on the other end "Well, of COURSE, if you can get HIM!" This is when he hires Jaws.
Captain Defenestrator