  We revisit, improve and complete some recent estimates of the $0^{+}$ and
$1^-$ open charm $(\bar c \bar d)(us)$ tetraquarks and the corresponding
molecules masses and decay constants from QCD spectral sum rules (QSSR) by
using QCD Laplace sum rule (LSR) within stability criteria where the factorised
perturbative NLO corrections and the contributions of quark and gluon
condensates up to dimension-6 in the OPE are included. We confront our results
with the $D^-K^+$ invariant mass recently reported by LHCb from $B^+\to
D^+(D^-K^+)$ decays. We expect that the bump near the $D^-K^+$ threshold can be
originated from the $0^{++}(D^-K^+)$ molecule and/or $D^-K^+$ scattering. The
prominent $X_{0}$(2900) scalar peak and the bump $X_J(3150)$ (if $J=0$) can
emerge from a {\it minimal mixing model}, with a tiny mixing angle
$\theta_0\simeq (5.2\pm 1.9)^0$, between a scalar {\it Tetramole} (${\cal
T_M}_0$) (superposition of nearly degenerated hypothetical molecules and
compact tetraquarks states with the same quantum numbers) having a mass
$M_{{\cal T_M}_0}$=2743(18) MeV and the first radial excitation of the $D^-K^+$
molecule with mass $M_{(DK)_1}=3678(310)$ MeV. In an analogous way, the
$X_1$(2900) and the $X_J(3350)$ (if $J=1$) could be a mixture between the
vector {\it Tetramole} $({\cal T_M}_1)$ with a mass $M_{{\cal T_M}_1}=2656(20)$
MeV and its first radial excitation having a mass $M_{({\cal
T_M}_1)_1}=4592(141)$ MeV with an angle $\theta_1\simeq (9.1\pm 0.6)^0$. A
(non)-confirmation of the previous {\it minimal mixing models} requires an
experimental identification of the quantum numbers of the bumps at 3150 and
3350 MeV.

High Energy Physics - Phenomenology;High Energy Physics - Experiment;High Energy Physics - Lattice;Nuclear Theory