The company is not paying you because they don't have to unless you have a written contract with them.
The screenshots are hearsay. Even your address, codes, etc. which you put on the pages are hearsay, and will be excluded from evidence unless you can somehow prove that you put them there as you did the work and not later. Therefore, any affidavit based on them will probably be excluded too.
But it won't even get that far. The company will just produce it's corporate guidelines which will state that contracts on behalf of the company can only be made by certain personnel, and must be approved by others. In other words, temps don't have the authority to hire independent contractors.
Your cause of action here is against the woman who hired you on the oral contract, or under an equitable principle called quantum meruit (the value of your work).