Lol the Brits have always been the masters of propaganda. So it only makes sense.
In regards to Trump, I think that's moreso for their own domestic consumption. From my understanding they had a petition about it, so due to the tremendous amount of muslims and leftist weebos in their country they have to make a show of it. If Trump became president I seriously doubt they'd ban him. For one Trump all ready owns a bunch of stuff in Britain. For two they need us.
In regards to Litvinenko, I have been aware of this case for some years now. Surprised the Brits actually brought it back up I thought the West would sweep it under the rug. Don't know if Putin himself ordered it, but I have thought from the beginning the Russians did him in. Their trademark assassination method is radioactive poisoning. Besides that forces within Russia, particularly the FSB as he was a former FSB agent, are the only ones with a real motive to assassinate him.
Putin likely OK'd Alexander Litvinenko death, inquiry says - CNN.com