There is none. There was a project scope

- finish company service (given their not clean data)

- finish integration with X api

- finish integration with Y api

and that would be finished in 4 weeks.

I finished all of those and apparently was not enough because they thought it was me not being a "consultant" by not helping cleanup the data and therefore everybody was delayed.

If there's no contract, what obliges them to pay you? What establishes your hourly rate?

A previous engagement that has the same terms of payment but this time, without scope and SoW.

Did you or the client sign a document binding you to do work and them to pay you for it?

On the previous engagement, yes. This time, no.

This is all because we know each other and have had a previous professional working relationship. Everyone that worked there pretty much became my friends also.

>professional .... friends .... payment

make up your mind