To my knowledge, 'late' can be placed in front of time period terms (day/week/month/year) to indicate the final part of a duration. However, there are a number of constructions (especially ones involving the present time period as opposed to past or future) that are open to my personal doubt, mostly due to the lack of search results for instances of their usage. Are the 'late-phrases' in the list below correct and natural English? If not, how can I reword them to express the same idea?
There will be a movie in here late tomorrow.
I will be starting university late this year.
We will expect a sudden temperature drop late this month.
He will arrive late today
Many thanks in advance.