I think they most importantly need to win the games they will play against the other teams that are threatened to end their season in the relegation zone. Of course it is a nice to have if they can beat other teams from the upper half of the table, but the most important points are those against their competitors from the lower half of the table.
Within the last 7 games of the season their opponents are Burnley, Nottingham, Brentford, Luton Town and Sheffield. That's when the season will be most important for Everton.
The team you mentioned also has the desire to win the match and they also don't want to be in the relegation zone so everyone will play for a win or at least a draw. Everton should be able to get out of the zone more easily, but their inconsistent performance means everything can change. Nottingham and Brentford are not easy to beat because they also have to win if they don't want to be in the relegation zone so they will try the same thing as Everton.
If can't win in all the remaining matches then a draw is enough, but it's also important to get several wins to avoid unforeseen possibilities. Being above one level in the relegation zone is not an easy thing because if they want to be safe they have to be in 14th or 15th position in the final standings.