I am afraid there are no longer any Inca trail permits available for your chosen dates. 🙁 The only dates available are now from the 1st to the 7th of April for this trek. There are many other alternative treks available in the area for your dates and you can see a full lis of confirmed departures here ,
http://www.apus-peru.com/trekkers-wanted if you are looking to join a group! (Choose 2019 for next years dates).
I hope this helps!