1. 'It will rain at times today' (every so often). 'At time' is not used.
2. Some time are an adjective and a noun; sometime is an adverb.
'I spent some time shopping.' 'Come and see me sometime.'
3. Same as 2.
'Give me some times when I could make an appointment.' 'I sometimes like to go swimming.'
4. Already answered.
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