Steering wheel wobbles when on rough roads 2004 Jaguar XKR convertible

What is your question?

I have owned this car for several years with current miles at 53,700....Car is maintained at Jaguar dealership. I only drive summer months, has never seen rain or snow, never been washed with water, only polished. I drive it approx. 1500 miles per summer, maybe less. My question is when I am driving it is very smooth riding until I hit a rough/uneven road. When this happens steering wheel shakes quite a bit along with visors/rear view mirror. I am suspecting shocks/struts, sway bar? Any ideas before I schedule appointment to have suspension looked over? I have never mentioned this to my Service dept as I am 90% on smooth roads. Also is this normal for the kit glove care it has always had? Thank you

What makes this problem better or worse?

Worse on rough pavement

How long has your 2004 Jaguar XKR had this problem?

Always since owned it, that has been since 48,000 miles