Re tomatoes, peppers, broccoli, beans.
You are talking about starting indoors under lights?
The broccoli is a cool weather crop, cold hardy and frost tolerant, but doesn't do well once it gets hot. It is a little late for starting it, but you could still give it a try.
The rest are warm weather things, that don't tolerate frost, but like the warm weather. The peppers you should start now, because they are slower. The tomatoes it might still be just a tad early. I just planted my tomato seeds yesterday, but my average last frost date is probably a week earlier than yours.
Beans are usually planted directly in the ground, after all danger of frost is past and the soil is warmed up a little. Soak them overnight and then plant.
Check out the sticky at the top of this section for seed starting basics.