A 40 ks 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 ( > \sim 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 .