You should 'seek' medical help immediately if you experience any chest pain or shortness of breath.
thrill-'seeking' travelers [=travelers who want to have very exciting/thrilling experiences]
They are 'seeking compensation/damages' [=they are trying to get money] for their loss.
(..) who has been nothing all his life. Who has never had recognition or his name in the newspapers. Nobody knows him. Nobody quotes him. Nobody seeks his advice after years. Gentlemen, that's a very sad thing - to mean nothing. A man like this needs to be quoted, to be listened to. (..)1957 12 Angry Men