These are the sentences I'm not sure of. I included the doubts in parantheses.Thank you.

1) Briefly outline the main features of the epic poem. Refer then to the seventh-century (?) epic poem "Beowulf" and to what it celebrates.
2)In the song "Help" the Beatles regret being young and self- confident.
3) In the past they were more independent and didn't need anybody's help.
4) Now they have changed their mind and they have opened up their doors.They need someone to help them get their feet back on the ground and cheer them up.
5) Does it mean that they need someone to help them be practical/realistic/down-to-earth (?)?
6)Yesterday night a pedestrian who was crossing the road on the zebra crossing (?) was rund down (knocked down) by a lorry driving through a red light.
7)A police patrol stopped a driver whose car was exceeding the speed limit. They fined (?) him for dangerous and drunk driving.

1) Briefly outline the main features of the epic poem. Refer then to the seventh-century epic poem "Beowulf" and to what it celebrates.

The title Beowulf belongs in italics, not quotation marks. Everything else is fine.

2)In the song "Help" the Beatles regret being young and self- confident.
No space between the hyphen and "confident."

3) In the past they were more independent and didn't need anybody else's help.

4) Now they have changed their minds, and they have opened up their doors. They need someone to help them get their feet back on the ground and cheer them up.

5) Does it mean that they need someone to help them be practical/realistic/down-to-earth? Yes

6)Last night, a pedestrian who was crossing the road at the zebra crossing run down by a lorry driving through a red light.

7)A police patrol stopped a driver whose car was exceeding the speed limit. The officer fined him for dangerous and drunk driving.