Involve those players more in the story - building process. Maybe they are being disruptive because they feel left out. Ask for their ideas about certain plot points or characters. For example, say 'You guys seem really eager to contribute. How about you help me design the next villain?'. This way, they feel included and are more likely to let the DM tell the story as well.
Use positive reinforcement. When players do let the DM tell the story without interruption for a while, praise them. Say 'Great job everyone for letting me tell this part of the story. This is really helping the game flow'. This encourages them to keep up the good behavior.
It could be that the file format of your story is not supported. Make sure it's in the correct format as specified by the upload requirements. Also, check if the size of your story exceeds the allowed limit.
It could be a technical issue. Maybe there's a problem with the game files. Try verifying the integrity of the game files if you're on a PC. This can often fix problems where the game isn't behaving as expected, including issues with story replay.