The do indeed have a hill to climb but the Sherpas of the FA and UEFA will carry them aloft.
I really think top 4 is unlikely given their form, run in, injuries. They won't beat Arsenal or Spurs. In the Europa, Celta could cause them problems but if they do make it to the final I think Lyon would beat them, they are just so much better. Refs might have their say in this, it will be tight.