Due to the past issues with Randazza's license, he has had issues with Pro Hac Vice admissions in the past, recently in the Alex Jones trial. Alex Jones hired him, then his motion to appear Pro Hac Vice was denied, so Alex Jones had to hire someone else. I think he replaced Randazza with Norm Pattis, which was probably a good switch (swapping the porn lawyer for the lawyer who made his name defending protesting hippies), but I could be wrong about which lawyer replaced him.
As far as I can put together, I think the sequence of events goes:
- Nick contacts Randazza to hire him around early December
- Randazza sends back the engagement letter, including the retainer amount
- Nick thinks, "holy shit that's a lot of money, I need a gofundme"
- Due to backlash over the car purchases, locals deal, and other bragging he has done, Nick doesn't do the gofundme, and instead starts to sell some securities or property or starts to get a loan to cover the retainer fee
- Nick can't do step 4 very quickly because all the buyers/lenders are on vacation, so he discovers he needs an extension in order to meet his court deadlines
- Nick "tries his hardest" to get the extension (through informal channels only, of course - a filing would be actual work)
- January rolls around and the deadline comes, with Nick still having not paid the retainer
- Everyone gets back from vacation, and Nick finally secures the money he tried to get in step 4
- Nick pays the retainer around January 10-15, completing the process of hiring Randazza
- Randazza files for admission Pro Hac Vice on Jan 19
If this timeline is correct, that means that Nick was stochastically represented by Randazza in the time between the engagement letter was sent and the retainer was paid. Crucially, Nick could have signed the engagement letter any time after step 2, and probably signed it before securing the money for the retainer. The contract would likely say that it wouldn't have actually gone into effect until he paid the money, but these kinds of contracts are weird because they are necessarily between a sophisticated party (a lawyer) and a layperson - also, I know Nick is a lawyer, but Randazza wouldn't rewrite his engagement letter just because the counterparty happens to be legally sophisticated in this instance.
Also, the delay isn't because atheist workaholic Marc Randazza is taking a Christmas vacation, it's because there is a third party here that is giving Nick money, who is not an atheist workaholic (which makes a lot more sense).