The purpose of church and fellowship is to help one another towards righteousness. "Comfort one another and edify one another" as St. Paul says in 1st Thessalonians.
Of course you do. The only difference is that our communion extends to the Church Triumphant (in Heaven) as well as the Church Militant (on Earth) and the Church Suffering (in Purgatory).
This is veering from the topic at hand.
Yes, God's love is to be displayed. The community of saints on earth (whom Paul is referring to) needs edification because it is still enduring the sinful effects of the world, but this in no way extends to depending on one another when it comes time to stand before an Almighty God.
Christ's death alone has provided the righteousness needed to stand in the day of Judgment.