Moving On - Phrasel Verbs

We write things down (like to record, on paper and for future reference, a telephone number that someone's just told us) ; we write up an account of something afterwards, like a policeman writing up a report of what has just happened. We may talk about a 'writeup' when we are looking online, in a paper or magazine to see what the critics thought about a show or film that we might be thinking to go and watch for ourselves.
We can 'write off' in the sense of sending a letter away to ask about something, or register an interest ('I've written off for more details about the holiday'); a badly damaged car will be 'written off', in the sense that is 'beyond economic repair', i.e. it would be unreasonable to pay more to mend it than the vehicle is actually worth.

Answer 2 is best here, though Answer 1 might describe an even earlier stage (cutting the skin of the fruit away/off, before cutting out the centre from what remains).

Any of the other Answers would have made some sense, suggesting that the audience were moving back from the screen as fast as they could; but only Answer 1 is right for the second part, 'coming into ... ' a place.

In spoken English one 'gets out of' something (this can also mean avoiding responsibility: 'I got out of having to pay'). Apart from the use of 'get', some non-native speakers might feel that we needed a Reflexive element in the phrase ('Get yourself out of that situation' is possible).
We can meanwhile 'switch off' or 'turn off', or even 'turn out' the lights.

We talk (or speak) 'about' a topic, and may then 'talk through' the details more closely (probably in a logical order, such as the time sequence of what will be happening).

People might 'give in' by stopping their resistance to something ('I give in; you're going to have to tell me the answer instead of me trying to guess'); and they might 'give things away' (e.g. here, passing on their remaining tobacco to somebody else).
One product may be 'given away' (free of charge) with something else, e.g. a bar of chocolate with a tankful of car fuel; the bride at a wedding is formally 'given away' by her father or another family member. And we can also 'give away a secret' ('It was a bit of a giveaway that she'd agreed to marry him, when we could see that great big ring on her finger').
Plenty to think about here!

All the 'put' expressions here exist in English ~ you might find it interesting to check them ~ but only the pair at Answer 3 makes full sense.

A machine may 'break down'; a school or college may 'break up' when its term ends and the people disperse for their holidays. 'Break up' can also mean that something comes apart, like a shipwreck; but clearly it does not carry quite that meaning here!
A couple (of adult people; or indeed, a family) may 'break up' ( = move apart ) if their relationship breaks down.

'Fill up ... / ... fill out' is also possible, but usually we 'fill in' a form.
Many of these other suggested phrases exist and do other jobs in English, except 'fill back' which we don't think has any sensible meaning.

We 'look for' a thing when we are actively searching; we may 'look at' it once we have found it. We use 'looking at' in the sense that someone is facing a challenge or difficulty, like an expensive price or a long stay in prison ('If you shoot a police officer, you would be looking at a long time in jail.')