Although I think Liverpool are not in any danger (12 points is too much for the remaining 9 games) but from a purely psychological point of view Liverpool are really lucky that there are now national team games. The players can take their minds off two painful defeats in a row and then start all over again. By the way, the first game after the break promises to be exhausting - Everton is a fundamental rival and they have two whole weeks to approach the game with Liverpool in maximum shape.
Liverpool are very close to winning the title, all they need is not lose too many games which may lessen their points gap with Arsenal. Liverpool has lost only one out of 21 games they have played this season, it will be a safe bet to say Liverpool will win this season title.
Everton may be fundamental rival but they are not in good form this season with seven wins only and are no way near to Liverpool. Having said that we have seen teams from bottom beating top teams in EPL, that's why we can't say with authority about winner in Liverpool vs Everton game
Merely looking at there performance it is very obvious that Liverpool will win them but it is not going to be as easy as we think because Everton can be very stubborn at times but even if they will be stubborn I don't think it will be where Liverpool is, not even now that there only hope is the premier League, they have lost the cup yesterday to Newcastle and they have been knocked out in the champions league after topping there for some time. Out of the 9 matches that is remaining, if only Liverpool can win 5 and Arsenal loss one more they will give them the trophy.