I'll go through them in order.
1: 'Getting to realise' isn't really the right English for this context. What you've said is correct, but there is a subtle difference between the two:
The first phrase speaks generally, in the present tense. You've replaced it with the future tense, which changes the meaning very slightly. To maintain the identical meaning, I would say 'After a time you come to realise...'.
2: 'Getting to know someone' is a common phrase in English and I wouldn't bother replacing it given the choice. Your change is almost identical in meaning, but there is an even more subtle difference between the two:
'Getting to know someone' implies you've met them once or twice, but will warm to them once you've seen them a bit more. So, add those three words to get an identical meaning: 'You'll like her once you know her a bit more.'
3 & 4: You're spot on using the verb 'to become' here. The meanings are, as far as I can tell, identical.