Doing this on the assumption Leicester have enough of a lead to stay in 3rd. I'll chuck in home and away even though evidently it's nowhere near as important without the fans.
Chelsea - 48 points
Villa (A)
Man City (H)
West Ham (A)
Watford (H)
Palace (A)
Sheff Utd (A)
Norwich (H)
Liverpool (A)
Wolves (H)
Man Utd - 45 points
Spurs (A)
Sheff Utd (H)
Brighton (A)
Bournemouth (H)
Villa (A)
Southampton (H)
Palace (A)
West Ham (H)
Leicester (A)
Sheff Utd - 44 points
Newcastle (A)
Man Utd (A)
Spurs (H)
Burnley (A)
Wolves (H)
Chelsea (H)
Leicester (A)
Everton (H)
Southampton (A)
Wolves - 43 points
West Ham (A)
Bournemouth (H)
Villa (A)
Arsenal (H)
Sheff Utd (A)
Everton (H)
Burnley (A)
Palace (H)
Chelsea (A)
Spurs - 41 points
Man Utd (H)
Sheff Utd (A)
Everton (H)
Bournemouth (A)
Arsenal (H)
Newcastle (A)
Leicester (H)
Palace (A)
Chelsea, Man Utd and Sheff Utd all have cup games to fit in as well.
Looking at that, I can't see Spurs winning all their remaining games, so I think they're safely out of top 4 talk. They can maybe press for Europe but they have a lot of ground to make up, too much I think.
Sheff Utd have a very tough run-in. Given what they've already done I'm refusing to write them off, but I can't see them winning a bunch of those. Draws maybe, which might be helpful for us if they take points off the others around us...but obviously we'd still need to take advantage.
Hard to know what will happen with Chelsea, they've shown the ability to be great or awful. I do think they'll drop some points, but equally they have a head start.
Man Utd I think will probably finish above us, their schedule's a little easier than ours overall. But we'll run them close.
For 4th/5th I think we probably need at least 6 wins. It's doable but we absolutely can't keep conceding first and relying on comebacks. And really you would think we need to win the first 3 at a minimum - I'm not huge on momentum in sport in general but it would surely give the players a big confidence boost for the run-in.
I think we'll be 6th at the end of it. Depending on what happens with City that might be enough for the top Europa spot - it probably will be worth a Europa spot regardless depending on who wins the FA Cup.