We report measurements of target- and double-spin asymmetries for the
exclusive channel $\vec e\vec p\to e\pi^+ (n)$ in the nucleon resonance region
at Jefferson Lab using the CEBAF Large Acceptance Spectrometer (CLAS). These
asymmetries were extracted from data obtained using a longitudinally polarized
NH$_3$ target and a longitudinally polarized electron beam with energies 1.1,
1.3, 2.0, 2.3 and 3.0 GeV. The new results are consistent with previous CLAS
publications but are extended to a low $Q^2$ range from $0.0065$ to $0.35$
(GeV$/c$)$^2$. The $Q^2$ access was made possible by a custom-built Cherenkov
detector that allowed the detection of electrons for scattering angles as low
as $6^\circ$. These results are compared with the unitary isobar models JANR
and MAID, the partial-wave analysis prediction from SAID and the dynamic model
DMT. In many kinematic regions our results, in particular results on the target
asymmetry, help to constrain the polarization-dependent components of these
models.