Go-Shintai and Plaguemaw Beast do not have summoning sickness.
There and Back Again has exactly two lore counters on it.
Steps
At the beginning of your precombat main phase, There and Back Again triggers, putting a lore counter on it.
There and Back Again's third chapter ability triggers, creating a legendary 6/6 Smaug creature token and causing you to sacrifice There and Back Again.
When Smaug enters the battlefield, Intruder Alarm triggers, untapping all creatures.
Activate Plaguemaw Beast by tapping it and sacrificing Smaug.
When Smaug dies, it triggers, creating fourteen Treasure tokens.
Holding priority, activate five Treasures by tapping and sacrificing them, adding ({W} magic symbol) ({U} magic symbol) ({B} magic symbol) ({R} magic symbol) ({G} magic symbol) .
Activate Go-Shintai by paying ({W} magic symbol) ({U} magic symbol) ({B} magic symbol) ({R} magic symbol) ({G} magic symbol) and tapping it, returning There and Back Again from your graveyard to the battlefield with a lore counter on it.
There and Back Again's first chapter ability triggers, causing the Ring to tempt you.
Resolve the Plaguemaw Beast ability from step 4, putting two lore counters on There and Back Again.
There and Back Again's second and third chapter abilities trigger.
Resolve the second There and Back Again trigger, causing you to search your library for a Mountain and put it onto the battlefield.
Resolve the third There and Back Again trigger, creating a legendary 6/6 Smaug creature token and causing you to sacrifice There and Back Again.
Repeat from step 3.
Results
Infinite colored mana.
Infinite death triggers.
Infinite ETB.
Infinite LTB.
Infinite proliferate.
Infinite Treasure tokens.
Put all Mountains from your library onto the battlefield.