Free Time Fun - Hobby Words and Terms

During a game of football, a 'handball' is an offence against the rules (unless you are the goalkeeper, of course).
If you hit the ball onto the net in tennis, that doesn't stop the game, so Answer 1 ~ though tempting ~ is wrong.
The other two answers are no good ... although if we had offered you 'Diving', that, too, is considered a bad thing in football.

A table is important for all the others ... but it's not very useful if you are skating!

The question says that he rarely, if ever, goes into the water: so Answers 1 & 2 are wrong.
There is no mention of a boat, so Answer 4 is probably also wrong.
Apparently, fishing is one of the most popular spare-time activities in Britain.

The question didn't mention any cameras, so Answer 2 is probably wrong.
In ballet (Answer 3) they would need music ~ which wasn't mentioned ~ and there would not be any speaking involved, so she wouldn't need to learn what to say. ('Learning your lines', they call it, when you have to remember the dialogue from the script.)
They may well go to watch musicals (Answer 4) as well, but Jacky is an active performer: she doesn't just watch other people on stage.

None of the others is a wind instrument (and we were told that she blows into it) ~ except perhaps the accordion ... but it's hard to imagine military signals or fanfares played on an accordion!

The question doesn't actually suggest that he ever plays with the models, so Answer 4 is probably wrong; and there are better ways to learn Military History (Answer 2) than by making models ~ though it may be helpful and interesting. An engineer (Answer 1) would probably prefer to make larger, working models of such machines as tractors, cranes and swing-bridges.

The H-shaped goal is probably the most obvious sign of a Rugby pitch.
The game was invented at a private school in the town of Rugby, in the British Midlands, during the 19th century. Its proper title is 'Rugby football', as distinct from 'Association football' ('soccer'). In Rugby, any player can touch the ball with his hands as well as his feet; in Soccer, only the goalkeeper is allowed to do that.

Pigeons are able to find, or remember, their way home even from a faraway unfamiliar place. For centuries people have used this skill of the birds to bring messages from one place to another, even during wartime.
Chickens (Answer 1) have other advantages for us (e.g. they lay lots of good eggs) but they can't navigate as well as pigeons do.
'Swan-upping' (Answer 3) is a ceremony each year when the British monarch sends a special man in a boat, all the way up the River Thames from London to the town of Abingdon, a distance of well over 100km. During his journey, he checks all the swans that he finds ~ big, usually white river-birds ~ to make sure they are healthy, and he marks them with a ring around their leg. According to tradition, all the swans on the Thames belong to the monarch!

Look again at the list of things they need, and you will find this is the most sensible answer.
For instance, you don't need music for Karate, and you don't need a large flat floor for Origami (unless you are folding something unusually big!). If you are going swimming, surely you need water ... which hasn't been mentioned at all!

We suppose that someone might go bird-watching ~ Answer 4 ~ at night (to watch night-birds such as owls), but most people would take a pair of binoculars rather than a telescope. Likewise, some people might enjoy watching trains at night ~ Answer 1 ~ but a telescope is unlikely to help them much with that.
Be careful of the difference between Astronomy (Answer 2: correct), which is the study of the stars and planets ... and Astrology (Answer 3: wrong) which is where they tell you what sign of the Zodiac you are (e.g. a bull or a pair of fish) and tell you about your personality and behaviour.