第一句,主语为Having a quick look at the headlines in the newspaper,为动名词短语做主语,要注意不能用have a look at （看一看）来做主语.a good way to do sth,做.的一种好方式,也可以说a good way of doing .
第二句带了一个宾语从句we had no other choice except to go to the police station for help 其中have no choice except/ but to do 意思为除了做.别无选择