I planted three kinds of beans early last week. The weather had been quite
warm, the soil was warm, and the beans were soaked overnight before
planting.

A few days later a cold snap started. Temps down into the high 40s
overnight, low 60s daytime. Today it's in the mid-50s and raining. I don't
see any beans coming up yet, except maybe a couple of the limas. It's
supposed to warm up again tomorrow but remain wet the rest of the week.

Am I worrying needlessly that the beans will rot?

Also, today I couldn't resist pulling a few of the carrots I planted last
fall. (The patch has gotten too thick anyhow.) The tops of the carrots are
around 2' tall and very green (the tallest one appeared to be getting ready
to go to seed), but the carrots themselves are not very big, maybe 4-5"
long, 1' diameter at the large end, and a very pale orange color. Since I've
never been able to get carrots to grow in the past, I'm thrilled to have
anything at all, but wondering if I did something wrong.... shouldn't these
carrot be larger and more orange? They do taste very good.