1 Are they both correct " the six-party coalition" and "the six parties coalition"?
I have only heard "the six-party coalition" form. "A coalition of six parties" would be correct, also.
In spoken English, I would say either are acceptable. "Possible" would be short for "That is possible", while "possibly" would be short for "We could possibly have that"2 When answering about a possiblity of something, should it be "possibly" or "possible"? e.g. A: What about beef steak for dinner?
B: Possible or possibly.
3. It is possible or possibly to construct a high building in this area.
4. Which is correct for residential/resident/residence permit? I guess "residential".
All three are used. From googling, they are most commonly used to describe permits which allow residents to park in the street or streets around their houses.
Just out of interest, what province are you from? Do you teach at a government school?