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
Liverpool have lost stability in the last few matches, but I don't think it's critical because just the last few matches have been a bit tough for them with a busy schedule, so it's not surprising to see such results. Now that they are only left in the EPL I think they will focus and go through to the end without defeat finally winning the Premier League title