I've seen a few posts about this, and hope to help clarify things in regards to subscriber Early Access.
A lot of people seem to assume that they had to be subbed between Aug 10th and Oct 19th. While this is correct in a sense it CAN be misleading and is probably where the confusion is coming in.
There were also dates that had a corresponding reward
August 10th 2015 - Nico Companion
August 31st 2015 - Nico Blasters
September 30th 2015 - Nico Duster
October 19th 2015 - Swoop Bike
So if your sub ran out on 09th August and you re-subbed on 11th of August you would NOT be eligible for Early Access or the reward as you missed the date specified. If, in fact your sub ran out for even a few minutes between 10th August and 19 Oct then you do not qualify for early access.
If you feel that you should have early access then you can check your sub dates under your SWTOR Account information on the main site, this will tell you from what periods you were subbed from, and, more importantly any lapsed time between 10 Aug - 19 Oct.
I hope this help's clear up some confusion people are having over Early Access.
Edited - Many thanks to TTGolding for my glaring noob mistake