I was gonna go optima https://10carbest.com/best-jeep-battery But they recenty moved to Mexico and the quality has gone down hill significantly. (according to fellow jeepers and the battery stores here) so I went with odyssey. It was $275 it has lifetime to questions asked full replacement on...
I am running the truck lites 7" round headlights by Hikari https://10carbest.com/led-headlights-bulbs I can vouch for them. They're 1000x better than the regular halogens. In addition, they have a flat cut off angle so you don't blind oncoming traffic. I had stock HIDs on a brz I used to have...
I'd carry a Hi-lift Jack & 'normal' winch recovery kit plus a winch extn strap before I'd carry a hand winch & that bloody great lump of winch cable roll!! But a Patrol door is NOT the place to mount it for more than a few weeks. You can swap the brackets to hang it off the INside of your roof...