I'd give your agent a call tomorrow first thing. Each state is a little different regarding notice. Here in Vic it is 28 days from the day we send it. Regardless of being in or out of contract.

For inspections, they have to give a min of 24 hours notice to enter the property. I'm not sure if there is a time frame they CAN'T do them... we've just ended our lease and told them they can have 1 inspection before we vacate - but we've been here 5 years and have a great relationship with the agent. We are also moving the second weekend and the third will be spent cleaning... we've given ourselves a week overlap to take the pressure off for doing the exit clean. Which reminds me, I need to organise a steam cleaner! Oops!