These guys really nailed it. Specific questions would help. Given that, there are some things you really should have:
Protective clothing, including your face and feet:
Feet: (My preference, but you asked)
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1
Shirt:
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1
Head:
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1
Hands:
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1
Face:
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1
Legs:
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1
You should also have a flag/light for safety. Something similar to this is good:
http://www.kayakfishinggear.com/prod...d-mighty-mount
As mentioned before, LEASH your rods! Yeah, they DO tend to jump out of your kayak at the most inopportune times!
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1
Protect your phone!
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1
A small medical kit, food, water, radio (waterproof, marine)... Safety first man. ALWAYS wear your PFD also. Get one with pockets to store your multi-tool and radio. Always keep your tool and radio on you. Rogue wave, or perhaps you get too close to a reef or something, but the wave could knock you out of your boat.