Sorry, I was MIA! Pretty much Elaine covered it very well! At a quick glance I don't see anything that can't be planted together.
You can still do broccoli if you are purchasing plants, but probably a bit too late if you wanted to start seeds. You could try seeds in the fall though, again, starting them in Late July or Aug. so they will have time to mature before frost.
Radishes are fun for a new gardener since they are ready to eat in about 30 days. You can plant every two weeks but if it starts to get too hot, the radishes will get hot and bolt (go to seed).