Hi Rezo,
Both you and the iRobot production team have authored the disc incorrectly. It's easy to even crash many Hollywood discs with some remote operations, so don't feel bad.
Most players will start up with Title 1 (the Track in VTS 1 as seen in your VTS View in the Outline tab area) after a true stopped state has been entered. This is the correct behavior for all DVD players if stop is initiated in the "Title Domain", and is as per DVD Specifications (
Part III, VIDEO SPECIFICATIONS - 3.3 System Model, 3.3.8 Transition by User Operations - pages VI3-44 & VI3-45).
The Stop state also clears out register values, which can cause some projects to begin to navigate erratically. It's best for the disc startup sequence and restart from Stop to be authored for similar, if not exact routing, so all disc variable values are reinitialized properly.
Navigation does something else if playback restarts from a stop initiated from within the Menu Domains. This can get quite complex, especially with Abstraction layer authoring systems like DVD SP.
Take care,
Trai
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TFDVD Research Labs