Complex sentence: Kinkaid then headed north to join the screen of Vice Admiral William F. Halsey's Task Force 16, under the command of Rear Admiral Raymond A. Spruance.
Split into simpler sentences: Kinkaid then headed north to join the Vice Admiral William F. Halsey's Task Force 16. Kikiad's force became part of its screen which was under the command of Rear Admiral Raymond A. Spruance.