The weed is a wild geranium, but I'm not sure it's G. robertianum. I have the one in your photos and G. robertianum, and the G. robertianum is larger and has larger blooms.
As for the holly seedlings, I think you should wait and see whether they're actually going to grow. I get millions of them from a neighbor's tree, but I'm a procrastinator and most of them are usually gone by the time I get around to removing them.
