Your growing conditions maybe warmer or drier or something than where they came from. Almost all of the plants I received did the same thing but most are now looking much better.
Stay on the look out for aphids or other pests. I grow most everything I have outside and I have caught birds pecking at the tips of my sundew's leaves on more than one occassion -- maybe the glistening dew drops attracts them.
Good strong light is vital and keep them wet but don't drown them. But I do not think your plants look that bad at all.
That last photo seems like the soil is a bit on the dry side. And the light looks a bit indirect. See if you can find a sunnier spot. Is that pot sitting in a tray of water?
I think the birds were trying to peck off the dead bug carcasses!
Well, for the last photo I took it out of it's tray, but yeah, I water via the tray method.