I have a Compustar (Biju did too). No issues with remote start at all.

Maybe pbk is on the right track and the installer may have tried to "wing it" instead of following a vehicle specific wiring diagram from the alarm manufacturer, or other... They may have missed a critical step and caused the TOD issue.

Let us know if the return visit solved the problem (and maybe what the original problem was too if they'll tell you).

Good Luck.