1) there should be a slipstream warp cooldown timer somewhere on the screen
2) the timer for Tour The Galaxy shouldn't start until you're actually in Sector Space. I lose 1 minutes and 30 second transitioning from ESD to Sector space because the time for TTG starts right after you accept the mission. For people with even longer load screens, this can seem a bit rigged. So yeah, start the timer for TTG once you're actually in Sector Space.