Keep on use in a sentence for each word

In the following sentences, I wonder if you could let me know which choice sounds better and why:

1- The meeting………………….a lot longer than I expected.
a) went on
b) carried on
c) continued
c) kept on

2- He………………….his father’s business.
a) went on
b) carried on
c) continued
c) kept on

According to my researches:
There are some serious regional devisions between the usage of each one of these verbs between AmE and BrE.
«Continue» is a formal word which rarely one uses it in conversation.
«Go on» is an informal equivalent for «continue».
«Carry on» is not used at all in AmE in this sense and most of the times it is used in war movies etc. rather than speech. «keep on» is an informal phrasal verb which is used very rarely in AmE.

But still I don’t know which one of these verbs can be used in each provided case of mine more naturally and idiomatically?

1.: a, b and c are all fine. ‘Kept on’ isn’t as it doesn’t make sense in the context because it means ‘persist’. Meetings don’t persist. Legends can persist, an illness can persist.

2.: only b and c (continued, not kept on) make sense.

Synonyms for ‘continue’ in the WRF Dictionary:

Synonyms:
keep on, carry on, keep going, keep talking, keep reading, keep it up, persist, be prolonged, abide , go on, drag on, endure , hold out, last out, proceed , maintain , keep up, remain , stay , resume , stretch , survive , subsist

1.: a, b and c are all fine. ‘Kept on’ isn’t as it doesn’t make sense in the context because it means ‘persist’. Meetings don’t persist. Legends can persist, an illness can persist.

2.: only b and c (continued, not kept on) make sense.

Synonyms for ‘continue’ in the WRF Dictionary:

Synonyms:
keep on, carry on, keep going, keep talking, keep reading, keep it up, persist, be prolonged, abide , go on, drag on, endure , hold out, last out, proceed , maintain , keep up, remain , stay , resume , stretch , survive , subsist

Thank you very much London Calling. Therefore, based on what you mentioned, in my first example, the last choice (keep on) and in my example #2 the first and last choice (go on and keep on) will not work. It was really helpful. Meanwhile, I wonder if you let me know about AmE too. Does your definitions work in American English too?

1.: a, b and c are all fine. ‘Kept on’ isn’t as it doesn’t make sense in the context because it means ‘persist’. Meetings don’t persist. Legends can persist, an illness can persist.

2.: only b and c (continued, not kept on) make sense.

Synonyms for ‘continue’ in the WRF Dictionary:

Synonyms:
keep on, carry on, keep going, keep talking, keep reading, keep it up, persist, be prolonged, abide , go on, drag on, endure , hold out, last out, proceed , maintain , keep up, remain , stay , resume , stretch , survive , subsist

London Calling I wonder if you could answer to some other examples so that I could reach a conclusion:

How about the following sentences:

1- Am I doing this correctly? — Yes, you are. ………………………​

a) go on
b) carry on
c) continue
c) keep on it

2- No matter what the surrounding people tell you and what they expect from you, ………………………. the way you are going.​

a) go on with
b) carry on with
c) continue
c) keep on going

3- Her children have given her the will to………………….her life and her work.​

a) go on with
b) carry on with
c) continue
c) kept on

4- I asked her to go out with me, but she only laughs. But I will…………………..trying.​

a) go on with
b) carry on with
c) continue
c) kept on

1.: a, b and c are all fine. ‘Kept on’ isn’t as it doesn’t make sense in the context because it means ‘persist’. Meetings don’t persist. Legends can persist, an illness can persist.

2.: only b and c (continued, not kept on) make sense.

Synonyms for ‘continue’ in the WRF Dictionary:

Synonyms:
keep on, carry on, keep going, keep talking, keep reading, keep it up, persist, be prolonged, abide , go on, drag on, endure , hold out, last out, proceed , maintain , keep up, remain , stay , resume , stretch , survive , subsist

London Calling, why in my original example #2 the first choice (go on) doesn’t work, while in #1 does? Is it a matter of personale preference?

You need to tell us what you think first.

Thank you London Calling
Actually, excepting «keep on» which for me as well has a connotation of persistence, all the other choices mean the same. So while «go on» works for the first sentence, I think it should work in second sentence as well. The same goes for all four sentences which I replied to your answer too.

London Calling, why in my original example #2 the first choice (go on) doesn’t work, while in #1 does? Is it a matter of personale preference?

2- He………………….his father’s business.
a) went on
b) carried on
c) continued
c) kept on
It isn’t a question of personal preference, it’s a question of meaning. The sentence means he continued to manage/run his father’s business: he went on to manage/run his father’s business doesn’t mean that, it means something different: at some time in the future he would run his father’s business. Thinking about it though He kept on his father’s business is also possible.

As regards your post 7:

1- Am I doing this correctly? — Yes, you are. ………………………
a) go on This would sound a little strange here.
b) carry onMy preference.
c) continueA little stilted.
c) keep on it

2- No matter what the surrounding people tell you and what they expect from you, ………………………. the way you are going.
I can’t comment on this because the sentence isn’t in natural English (and we’re not allowed to re-write sentences).
a) go on with
b) carry on with
c) continue
d) keep on going

3- Her children have given her the will to………………….her life and her work.
a) go on with
b) carry on with
c) continue
d)

kept

keep on

4- I asked her to go out with me, but she only laughs. But I will…………………..trying.
a) go on with
b) carry on with
c) continue
d)

kept

keep on