Solutions
Final arrangement:

Clues: One box is kept between Box H and Box M. Two boxes are kept between Box M and Box B. Box B and Box H are not kept adjacent to each other.
Inference: From the above conditions there are two possibilities i.e., Case 1 and Case 2.

Clues: One Box is kept between Box T and Box J. Box J is kept below Box T. More than two boxes are kept below Box J. Box T is kept above Box H but not on the topmost position.
Inference: From the above conditions one more possibility arises from Case 2 i.e., Case 2a.

Clue: Box N is kept immediately above Box E which is not kept on the bottommost position.
Inference: From the above conditions Case 2 and Case 2a are cancelled here as there is no place for Box N and Box E.

Inference: Only one Box remains i.e., Box K. So, the Final arrangement is:

Box N is kept just below Box M
One Box is kept between Box B and Box N