No, it is an ambiguous case: there are two possible configurations.
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Such a triangle would be impossible to construct with the given 3 dimensions because in order to construct a triangle the sum of its 2 shortest sides must be greater than the length of its longest side.
Use trigonometry knowing that the angle will be 60 degrees
No the given measurements would not make a triangle because in order to construct a triangle the sum of its smallest sides must be greater than its longest side.
Yes. That's always possible, but there's only one of them.
It is not possible to answer the question with the information given - particularly with the form in which it is given.