Yes, when Jagannatha goes to sleep and when He rises up, to ring the bell is the custom. Ringing of bell is required even for offering prasadam. That is the system in all the Temples in Vrindaban. Your question; Does the Lord go to sleep so early and before everyone, and wake up so late, after everybody? The Lord is independent and complete. He has nothing to do with everyone. He is Lord. After He wakes up He is washed, not before.
Sri means opulence, auspicity. And therefore before remembering any friend or superior, the Sri word is prefixed in so many forms. The real word is Sri; the others are all different forms of Sri. Yes, Lord Jagannatha is in the Spiritual Sky; every form of Krishna is in the Spiritual Sky. Ekadasi is observed for increasing the strength of devotion.