  The aim of the NA61/SHINE strong interaction program is to explore the phase
diagram of strongly interacting matter. The main physics goals are the study of
the onset of deconfinement and the search for the critical point of strongly
interacting matter. These goals are pursued by performing a beam momentum
(13$A$ - 158$A$ GeV/c) and system size (p+p, p+Pb, Be+Be, Ar+Sc, Xe+La) scan.
  This contribution presents results on transverse momentum and multiplicity
fluctuations from the Be+Be and p+p energy scan. Also, results on two-particle
correlations in pseudorapidity and azimuthal angle obtained in p+p interactions
will be shown. The influence of conservation laws and resonance decays on
multiplicity and chemical fluctuations of identified particles in p+p
interactions will be discussed. Obtained results will be compared with data
from other experiments and with model predictions.
