Most of what you are growing at the community garden are for the warm season and the lettuce and carrots are cool season. You might want to think about what you will be growing when. A lot of this depends on your growing season and how long it is. The loose and non-heading lettuce are better because they are easier to grow than heading types and have some tipburn resistance. Lettuce should be planted in succession so you will get a longer harvest.
Thyme and oregano are perennials. You might want to keep them in pots in case they need to be taken in when it gets cold.
You have a nice size community garden. I have a big community garden for Hawaii 19x40 ft (It is supposed to be 20 ft, but it isn't). Yours is twice that. You can get a lot of things in there and you do have things that will take up a lot of space like the corn and squash. Tomatoes will take up less space on trelisses
Carrots need deep rich soil that is fairly fine without rocks or you will get crooked carrots and not too much nitrogen or they end up with a lot of forking. They don't like it once it gets hotter than 70 degrees.
Unless you are going to visit your community garden often, like every day or two, it is hard to grow peas or beans. They have to be picked almost every day an you will still miss some and some will be too mature to pick if you don't go more often than weekly. Same thing happens with zucchini, and chayote a couple of days and they can be past their prime picking.
I do plant corn, long squash (upo), butternut, Chinese wintermelon, beets, carrots ( a couple of times), Asian greens, daikon, and sugar baby watermelon at my community plot. They mature slower so they don't ripen very quickly. I do have chayote there but when it is in fruit, it is prolific and I just either give the mature ones away or throw them in the corner where they will sprout another vine. Shoots are edible too so I get two harvests from it.
I plant hot peppers at my community garden. Bird peppers and tabasco because they are perennial and don't need a lot of care.
I plant things that I am going to harvest all at once like spinach, tatsoi, choi sum under the Satsuma mandarin orange trees.
At home I plant things that need to be either harvested fresh, need to be picked frequently, or things I use a lot so I like the convenience of just going out the back door to get it. Like most of the herbs, lettuce, tomatoes (they do not grow well at the community garden), beans, snow peas, kale, swiss chard, broccoli, cucumber, Silver Queen corn ( it gets maize mosaic virus at the community garden so I need to plant a resistant UH #10 corn there). I have more peppers at home.I plant the majority of the root crops, except taro and ginger that need more water, at the community garden because they grow better there and the leaf and fruit crops at home. The community garden is at a higher elevation so chayote likes it better there and there is more space for it to roam.
I only get to my community garden at most a couple of times a week. When it has been raining and with the holidays, it is pretty much on its own. I think I went last about 3 weeks ago. I have trained my plants to either live on rain or to live with deep watering twice a week. Water hogs like cucumber and tomatoes I keep at home. Tomatoes do not grow well there anyway. I plant things there that don't need to be harvested daily and do not need a lot of care. I do have to grow resistant cultivars since there are a lot of plant diseases in community gardens and I plant more unusual things there and only a few otherwise, it would be stolen. I got rid of the bananas in the plot because they got bunchy top, but also because we never got any bananas. The lock was cut and we caught someone who had climbed over the fence into the garden. Some of my other community garden neighbors are lucky if they get one in 5 bananas to harvest and when they plant rows of eggplant, or cabbages, they get stolen. All I have to worry about is vandalism, and people throwing trash in and in front of my garden. Oh yeah, peeing on my fence.
Happy gardening in Hawaii. Gardens are where people grow.