1. Arsenal, Liverpool and Manchester City are teams likely to win the EPL title
2. Ipswich Town, Leicester City and Southampton are teams that may likely go for relegation.
3. UEFA qualifiers should be Arsenal, Chelsea, Manchester City, Manchester United and Liverpool.
Your prediction is great per se thou I have different opinion on some of your picks. As for the title contender, I would have predicted the same teams as you just mentioned but Arsenal have the higher chance. For the past two seasons now including the just concluded season, Arsenal had every opportunity to win the league but the couldn't due to some mistakes. I believe Arterta has learnt enough lessons for the past seasons and he's expected to make correction this coming season. If the same thing should happen again, then they are just average team as we normally assume.
Leicester city was once a great team in the English premier league but all of a sudden, it has become their norm to relagate this season and promote the next season. However, I don't see them repeating that process this coming season judging from their performance in the championship thou towards the end of the season their performance depreciated. Their position on the table might be at buttom thou but relagating back to championship again will be a shame to them and their management.