We study representation theory of quantizations of Nakajima quiver varieties associated to bouquet quivers. We show that there are no finite dimensional representations of the quantizations
A
¯
λ
(
n
,
ℓ
)
\overline {\mathcal {A}}_{\lambda }(n, \ell )
if both
dim
V
=
n
\operatorname {dim}V=n
and the number of loops
ℓ
\ell
are greater than
1
1
. We show that when
n
≤
3
n\leq 3
there is a Hamiltonian torus action with finitely many fixed points, provide the dimensions of Hom-spaces between standard objects in category
O
\mathcal {O}
and compute the multiplicities of simples in standards for
n
=
2
n=2
in case of one-dimensional framing and generic one-parameter subgroups. We establish the abelian localization theorem and find the values of parameters, for which the quantizations have infinite homological dimension.