A middle school organized a calligraphy competition for all students on the eve of New Year's Day (20 14) to promote Chinese excellent cultural traditions in recognition of the book.

(1) If the unit price of the pen is X yuan, then the unit price of the brush is (x+4) yuan.

From the meaning of the question: 30x+20(x+6)= 1070,

Solution: x= 19,

Then x+6=25,

Answer: The unit price of pen is 19 yuan, and the unit price of brush is 25 yuan.

(2) (1) We set Y pen with unit price of 19 yuan, and then (60-y) brush the pen with unit price of 25 yuan.

According to the meaning of the question:19y+25 (60-y) =1322,

Solution: y=893,

It doesn't matter, that is, Mr. Wang must be mistaken;

② Set Z pen, unit price 19 yuan, unit price of signature pen is one yuan.

According to the meaning of the question:19z+25 (60-a) =1322-a, that is, 6z= 178+a,

Since a and z are integers, and 178+a should be divisible by 6,

The empirical calculation shows that when a=2, 6z= 180, that is, z=30, which is consistent with the meaning of the question;

When a=8, 6z= 186, that is, z=3 1, which is consistent with the meaning of the question.

The unit price of pens is 2 yuan or 8 yuan.

So the answer is: 2 or 8.