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.
My prediction will also be the same as yours since all of the clubs have shown the impact and the strength to finish in their current position. However, we can just talk about Chelsea since they can lose the game because Nottingham Forest is also hoping to play in any European competition. Chelsea recent performance has been great, but the match will be difficult because bookies offer Nottingham Forest @ 3.23 odds and Chelsea @ 2.27 odds. Despite the big odds, Chelsea has the best chance of winning.
However, do you believe Aston Villa can defeat Manchester United? Manchester United has lost so many games this season, like the Europa League final, and you think they are going to disappoint their fans again. Even if Aston Villa wins the match, they will struggle since this is the only chance Manchester United has to calm their fans.