That is correct. You could also say: Tom has been unemployed for a month.
Yes, that statement is correct as a way to indicate the passage of one month since the letter was posted.
yes
No, "pre-planned since a month" is not grammatically correct. It would be more accurate to say "pre-planned for a month" or "planned in advance for a month."
Either may be correct depending on context. If you are merely specifying the month then it would be correct to say your birthday is in that month. Being more specific you would say your birthday is on a specific date.
yes notice belongs to month so apostrophy s
No, the correct way to say that would be... "You should just go to work"
It is correct to say "in March" when referring to the month as a whole. For example, "My birthday is in March." However, you would say "on March" when referring to a specific date within the month. For example, "The concert is on March 15th."
You have been travelling is correct. You would never say you have been on travelling, although for poetic emphasis you could say you have been travelling on.
"Has been" is correct, because "a block" is singular.
It would be more correct to say, 'I wish the month of November ended really fast.' November has 30 days.
No. For plural, like are, you can say have been. For singular you would say has been.
You can say "I just got off work."