I can't see that happening unfortunately. They didn't give up when they were 14 points behind (admittedly they had two games in hand) so I can't see them taking their eye off the ball when the gap is only 3 points. Especially as they'll be aware of our defensive injuries and that we have have two very tricky away games coming up where we could easily drop points.
In my opinion, there's no way Klopp will rest any of their big players against Villa for the FA Cup final whilst the league is still possible. They'll go full strength and aim to put the pressure back on us.
As for the Champions League final, it's not until a week after the league season finishes so I don't think that will have any impact on team selection. The only way that changes is if they drop points to Villa and we beat Wolves. Then maybe I could see him resting players in the last two games.