GRB 210318***A***: Swift-BAT refined analysis S. D. Barthelmy (GSFC), J. R. Cummings (CPI), H. A. Krimm (NSF), S. Laha (GSFC/UMBC), A. Y. Lien (GSFC/UMBC), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Sakamoto (AGU), M. Stamatikos (OSU), T. N. Ukwatta (LANL) (i.e. the Swift-BAT team): Using the data set from T-240 to T+963 sec from the recent telemetry downlink, we report further analysis of BAT GRB 210318***A*** (trigger #1037335) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 264.228, -35.822 deg which is RA(J2000) = 17h 36m 54.8s Dec(J2000) = -35d 49' 18.0" with an uncertainty of 1.0 arcmin, (radius, sys+stat, 90% containment). The partial coding was 95%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 14.76 +- 0.46 sec (estimated error including systematics). The time-averaged spectrum from T-9.00 to T+19.42 sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 1.10 +- 0.13, and Epeak of 250.2 +- 178.8 keV (chi squared 39.28 for 0 d.o.f.). For this model the total fluence in the 15-150 keV band is 1.0 +- 0.0 x 10^-05 erg/cm2 and the 1-sec peak flux measured from T+2.70 sec in the 15-150 keV band is 14.7 +- 0.4 ph/cm2/sec. A fit to a simple power law gives a photon index of 1.31 +- 0.03 (chi squared 47.04 for 0 d.o.f.). All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/1037335/BA/