To sack him right now would be silly considering the owners (In my view rightly) didn't sack him in the summer. After all, he's only 4 points off top 4, 2 points behind Arsenal, 1 behind Tottenham and we still are in all cup competitions.
It has been a disappointing start with few positive performances.
I believe he should be given 5 more games to save his job.
Villa (H)
Everton (A)
Tottenham (A)
Southampton (H)
Bournemouth (H)
Have to say I'm totally lost now.
The next 5 games aren't even those you have listed. It's:
Aston Villa (H)
FC Sion (H)
Everton (A)
Tottenham (A)
R. Kazan (H)
And yes: You were right in the first place that Bournemouth is a home game - Carling Cup!