In which of the following is positive work done by a person on a suitcase

The work done by man is positive as long as force applied by man on the suitcase and the displacement of suitcase are parallel. Since no other force is acting on suitcase other than gravitational force by Earth and force applied by man, ignoring force applied by moon and sun since they are negligible, if he holds suitcase still, then work done by him will be zero. If he lifts suitcase in upward direction, work done by him will be positive but work done by gravity will be negative since gravity acts towards the centre of the Earth and displacement of suitcase is opposite to that force.
Option 3 is interesting, if you are sitting on a chair(which is at rest) and analyzing the man holding the suitcase who is standing on moving walkaway, work done by man on case will be zero because displacement of case is in horizontal direction but force applied by man is upward. i.e, force and displacement are both perpendicular.

Hence option 2 is correct.

    5.5 n======    assuming that      we have      m = 0.145 kg    a = 38 m/s²therefore    5.51 n, but two significant figures.final answer: 5.5 n