It does not need to have a hyphen! :)
No, the word "predetermine" is one word.
No, the word "coordinator" is one word.
daydream is one compound word, so you do not need a hyphen.
Yes, "five-day trip" should have a hyphen. The hyphen is used to create a compound adjective that describes the noun "trip." Without the hyphen, it can lead to confusion about whether "five" and "day" are intended to be read together as a single descriptor.
The use of a hyphen is often in question when referring to two words. If one is using "half day" to modify another noun, then proceed with using the hyphen. For example, a "half-day holiday", and "I took half a day off".
No, the word "nineteen" does not need a hyphen when written numerically.
No, "present day" is not spelled with a hyphen in standard English. It is typically written as two separate words: "present day."
No
It's not a word in the dictionary, so yes, use the hyphen.
I do not believe that multitasking is supposed to have a hyphen.
You typically need only capitalize after sentence-ending punctuation, which a hyphen is not.