  Lagrangian and Hamiltonian dynamics of de Azcarraga-Lukierski N=2 massive
superparticle is considered in the framework of twistor-like Lorentz-harmonic
approach. The emphasis is on the study of the interaction with external Abelian
gauge superfield. The requirement of preservation of all gauge symmetries of
the free model including kappa-symmetry yields correct expressions for the
superfield strength constraints and determines the form of nonminimal
interaction. We also show that for de Azcarraga-Lukierski N=2 massive
superparticle the pullback of field strength 2-superform to the superworld line
is not integrable in contrast to the massless superparticle.
