Only Arsenal's victory and consistency can be proud of so far because in my opinion if Tottenham and Manchester United won the 3 postponed match, Arsenal would occupy the 6th position. Arsenal get a chance to be ranked 4th in the standings because some teams couldn't play due to postponed, it's good for Arsenal because they can prove that they can reach the top 4 in their current form.
Yes, Arsenal's position in 4th place is not safe because Man United and Tottenham also have a chance to occupy that position. Arsenal will be displaced if both Man United and Tottenham can win their 3 postponed matches, but I guess it won't be easy because, with the postponed matches, the schedule for Man United and Tottenham will be tighter. So it all depends on Man United and Tottenham's performance.
A bad start didn't stop them from giving up, although anything is still possible when Tottenham and Manchester United play all their currently postponed match. But at least Arteta can prove that he still deserves to be kept at Arsenal this season.
When Arsenal slumped, many Arsenal fans want Arteta sacked but with the opportunity given, Arteta can prove that he deserves to be Arsenal's coach.