There are 11 time locations, and 11 objects that must be swapped between them, each to its correct time. Here are the locations of the items and where they belong.
(see related questions for all eleven time periods)
The wall at far right is as far as you go. Unlike later islands, Time Tangled Island had only 1 scene for each of the 11 time periods, two future scenes, and one each for Main Street and Professor Pendulum's Lab.
To find all the artifacts in Time Tangled Island on Poptropica, you will need to travel to different time periods using the time machine. Each time period has a specific artifact that you need to locate and return to the future. Pay attention to the clues given in each time period to help you locate the artifacts.
All of the islands are connected by the Poptropica blimp. You can only go to the islands on the island map, the ones that are open. The blimp (and its rope) are only accessible from Main Street on each island.
each time a agent charges you jump over them
Each of the 11 time periods is missing an item, and each of them has something that doesn't belong there. Talk to the characters in each time to see what they need, and look for those items in the other times. (see related question)
The game is not exactly what it says : it is a test of your visual coordination. You have to watch very carefully as the symbol moves from place to place. If you can't beat this right away, just play the game a few times and always guess the upper left tile. Eventually you will get it right, because the location changes each time you play.
As you return each item to its proper time, that part of the Time Device will turn green. When they are all green, select the Lab (12 o'clock) and go back to Pendulum's Lab, where you can use the Future machine to go to the restored future and get your Island Medallion.
This answer will change with each new island. (see the related questions)
You can play the game show again, and each time you beat it, your total indicated on the Island Medallion will increase. But you cannot win any more credits.
No, but you can beat the TV show multiple times, and each new win will display on your Island Medallion ("2-time champion", 3-time champion, and so forth).
you jump on each head to put it to sleep
For each island you beat, you receive an Island Medallion and 50 Poptropica credits for the store (was formerly 100 credits). You can only play each island once for credits, although you can reset them from the small map. The Haunted House and Dr. Hare's Secret Lab (both in the Poptropica store) also award credits. On Reality TV Island, any subsequent wins on the show are reflected on the Medallion (2-time winner, 3-time winner, and so forth). This has been extended to other islands if you reset them, beginning in 2012.