[stripes1977]

The ball would be dead at the spot of the catch, thus downed at the 1 yard line (assuming it didn't break the plane of the goal line), correct.

The ball (on a kick)is always dead when posessed by K because they can never advance a kick beyond the neutral zone (whether they are entitled to keep it or not). Only in or behind the neutral zone could K possess the ball and also advance it.

The other thing to keep in mind would be the possibility kick-catching interference (although it doesn't sound like there was an R player trying to field this kick).