We report on the discovery of five carbon-enhanced metal-poor ( CEMP ) stars in the metallicity range of -3.3 < [ Fe/H ] < -2.4 . These stars were selected from the LAMOST DR3 low-resolution ( R \sim 2,000 ) spectroscopic database as metal-poor candidates and followed-up with high-resolution spectroscopy ( R \sim 110,000 ) with the LICK/APF . Stellar parameters and individual abundances for 25 chemical elements ( from Li to Eu ) are presented for the first time . These stars exhibit chemical abundance patterns that are similar to those reported in other literature studies of very and extremely metal-poor stars . One of our targets , J2114 - 0616 , shows high enhancement in carbon ( [ C/Fe ] =1.37 ) , nitrogen ( [ N/Fe ] = 1.88 ) , barium ( [ Ba/Fe ] =1.00 ) , and europium ( [ Eu/Fe ] =0.84 ) . Such chemical abundance pattern suggests that J2114 - 0616 can be classified as CEMP-r/s star . In addition , the star J1054+0528 can be classified as a CEMP-rI star , with [ Eu/Fe ] =0.44 and [ Ba/Fe ] = - 0.52 . The other stars in our sample show no enhancements in neutron-capture elements and can be classified as CEMP-no stars . We also performed a kinematic and dynamical analysis of the sample stars based on Gaia DR2 data . The kinematic parameters , orbits , and binding energy of these stars , show that J2114 - 0616 is member of the outer halo population , while the remaining stars belong to the inner halo population but with an accreted origin . Collectively , these results add important constraints on the origin and evolution of CEMP stars as well as on their possible formation scenarios .