Yes, this is some where built in the middle ages only and outside of the temple there is a plaque specifying the era. I have taken a photo of that, will post you when i get it as i have it in my house and now i am out of station. But it must be statedthat the tower has withstood the shocks of the 2001 earthquake. It is a good temple for dwarakadisa Sri Krishna. According to the local people who had seen earthquake the entire tower shook for a minute and then stood back. Also it must be state that the temple built at bet dwarka which is an islandand needs travellingon a boathas been totallydamageddue to the earthquake. I have personally seen the damages, however the moola murti inside is safe. New temple is being built now.
The Old Fort wall ( Just a small portion remains) and the famous kali temple in it, The wells all survived. Even buildings constructed till 1980s , The Hotels i used to stay, Corporate buildings were all survived.
What fell was all the new residential multi stories.