Spiders on the outside of the windows?

I don't really know which category to put this in but here goes iv got two spiders on they outside of the window that look suspiciously like the fake widow spider they even have the skull pattern on the back so what's worrying me is that my back door is near the window and spiders have been getting in under there and with a 13 week old baby that loves lying on the floor it's worrying so does my landlord have to do something about the back door or is that my job? Thank