Man, that sounds like tough gardening. Hopefully it'll dry out for you before the summer heat settles in.
We've been cool all May, and just about perfect on rain -- 4 inches MTD, kinda spread out. All my stuff's in raised beds now and that allowed me to start things earlier, and they drain a lot faster. Getting lettuce, radishes, spinach, Swiss chard and snap peas at the moment. Hot season stuff is off to a slower start of course, but tomatoes and peppers are throwing blooms at least. No rabbit issues this year but I've got a cat that likes my new asparagus and raspberry beds. Been using a citronella spray to keep it away, which seems to work for a few days. At least it's staying out of the veggies.