Essetial kayak equipment

Besides the kayak itself and a paddle, you'll want a well-fitting pfd. If possible, find one with pockets in it to carry small items; first aid kit, a couple of tackle boxes and the various tools anglers use.
To carry tackle,  couple of Plano 3700's tackle trays should hold enough. Get a milk crate on something similar to keep the tackle in.
Bungee the crate and the trays to the boat. Because water runs in and out, figure out a way to raise your crate. There are all sorts of ideas on You Tube.
Fishing at night is going to require a white light visible for all 360-degrees mounted in the rear. During the day, a brightly colored flag will help other boats see you.
Remember, you'll be sitting very low on the water, practically on the surface. Do all you can to be visible.
Fish with a buddy or let someone know where you'll be fishing and when you'll return. Above all, wear that pfd. Good luck and happy paddling.