  A 40 ks \emph{Chandra} ACIS-S observation of the dynamically young cluster
A1367 yields new insights on X-ray emission from cluster member galaxies. We
detect 59 point-like sources in the ACIS field, of which 8 are identified with
known cluster member galaxies. Thus, in total 10 member galaxies are detected
in X-rays when three galaxies discussed in paper I (Sun & Murray 2002; NGC 3860
is discussed in both papers) are included. The superior spatial resolution and
good spectroscopy capability of \chandra allow us to constrain the emission
nature of these galaxies. Central nuclei, thermal halos and stellar components
are revealed in their spectra. Two new low luminosity nuclei (LLAGN) are found,
including an absorbed one (NGC 3861). Besides these two for sure, two new
candidates of LLAGN are also found. This discovery makes the LLAGN/AGN content
in this part of A1367 very high ($\gsim$ 12%). Thermal halos with temperatures
around 0.5 - 0.8 keV are revealed in the spectra of NGC 3842 and NGC 3837,
which suggests that Galactic coronae can survive in clusters and heat
conduction must be suppressed. The X-ray spectrum of NGC 3862 (3C 264)
resembles a BL Lac object with a photon index of $\sim$ 2.5. We also present an
analysis of other point sources in the field and discuss the apparent source
excess ($\sim$ 2.5 $\sigma$) in the central field.
