I am not claiming it is fake, but:

a bit weird is that I found an Agnew account, with a different writing style, more coherent, no caps: https://twitter.com/catherineagnew1

But: 1) I found it through a simple search as suggested here and on reddit: starting with CatherineAgnew http://i.imgur.com/T0Lf0H4.jpg

So why was it not listed in the OP at: https://www.reddit.com/r/conspiracy/comments/5ukleo/found_old_posts_on_twitter_from_2011_claiming_to/?st=IZ9X55GH&sh=a8c4a21d

or https://voat.co/v/pizzagate/1654349

Also 3 followers, all new people (MAGA etc), any random accounts has at least 10 spam/bot followers

What COULD be the case is that someone at Twitter is making those, and faking the timestamps.

We should investigate this possibility.

So next to archiving, we should try to falsify these tweets as being genuinely from 2011.