My prediction is the following -
1st Liverpool
2nd Arsenal
3rd Man City
4th Newcastle
5th Chelsea
I think the only one that has some doubt is 5th place because if Chelsea drop points away at Nottingham Forest which could happen, then Aston Villa would finish 5th if they win away at Old Trafford.
Yes and that means the position of each team in the top 5 in the standings will not change after the last match. I agree with your prediction because each team in the top 5 will face opponents that they should be able to beat. The only one who has a big challenge is Chelsea because they will play against Nottingham Forest. Despite getting some bad results in the last five matches but I think Nottingham Forest still has the motivation to enter the UCL zone even though the chances are very small. On the other hand City, Newcastle and Aston Villa should be able to beat their opponents.