Yes, they are both Steatoda nobilis. Possibly both males, which are common at the minute as they wander around looking for mate. Because of their wandering habits, I tend to put males outdoors. Neither males, nor females are actually aggressive - both are more likely to run & hide when bothered. Females tend not to wander & usually stick close to their web & hiding place, I leave these be as long as they ar not in the bedroom or bathroom.