Both are correct but their meanings are not exactly the same. Thought of the day sounds as if it is used after the day. Thought for the day makes more sense before the day or at its beginning.
That is the correct spelling of "well thought out" but a synonymous phrase could be "thoroughly considered," also "contemplated" or planned.
'In the hope that' is the correct phrase.
This is not a sentence it is a phrase and as a phrase it is correct.
It does not sound natural, and the more widely used phrase is "within the day".
In the sentence "He has always thought about his future," the verb phrase is "has always thought." While "thought" is the verb, a verb phrase includes words that may affect the tense of the verb.
No, it is not correct to say "one an." The correct phrase is "one and a half day" to refer to one full day and half of another day.
Yes, the phrase "last evening" is correct and commonly used to refer to the evening before the current day.
That is the correct spelling of "well thought out" but a synonymous phrase could be "thoroughly considered," also "contemplated" or planned.
"have well and" can be a grammatically correct phrase only if the word "and" is followed by another adverb, with "well and truly" probably being the most common. In fact this phrase is so common that it is best avoided as a cliche.
'In the hope that' is the correct phrase.
If you are referring to this sentence, no, it does not resemble a correct phrase AT ALL.
This is not a sentence it is a phrase and as a phrase it is correct.
"Day yesterday" is redundant and grammatically incorrect. The correct phrase would be "yesterday" to refer to the day before today.
No, "thunk" is not the past participle of "think". It is not even a word. The correct form would be, "Who would have thought it?" Sometimes "Who'd have thunk it" is used for humorous effect, with the understanding that the speaker knows it is not correct English.
It does not sound natural, and the more widely used phrase is "within the day".
In the sentence, "he has always thought about his future" the verb phrase is "has always thought".
In the sentence "He has always thought about his future," the verb phrase is "has always thought." While "thought" is the verb, a verb phrase includes words that may affect the tense of the verb.