The first pic. looks like the “joint” at the END of the driveway were it meets the public sidewalk out at the caldasac. i wouldn’t worry about that one. water runs off the street onto the lawn, or shoulder all the time. not an issue. the one at the door, i would recommend a masonary calk to keep water from rotting the sill plate, if it has one below grade. it looks like a slab on grade construction, if this is true, the only concern may be erosion under the threshold or that part of the slab. it needs to drain, but it also can’t let water get under the house. Raf, how was the pitch of the landscape in this area? if it is away from the house and it is slab on grade, i’d say it’s not a big deal. if it’s got an actual foundation and the grade runs toward the house, they’re gonna have issues if not now, in the near future.