Dear Mr. Munoz,
Thank you for posting your request on History Hub!
For access to U.S. Navy deck logs dated after 1983, please write to the Ships Deck Logs Section, Naval History & Heritage Command, 805 Kidder Breese Street, SE, Washington Navy Yard, Washington, DC 20374-5060 or contact them via email at firstname.lastname@example.org. Their website is https://www.history.navy.mil/research/archives.html
The NHHC also has command operations reports of the USS Kearsarge (LHD-3). Some of these reports, including the command history for 2003, have been posted to the NHHC’s website at Kearsarge (LHD-3) V.
We hope this is helpful. Best of luck with your research!