Many thanks for your patience. first of all you need to look at the agreement you had in place and whether it provides you any rights in terms of a notice period on termination. By the looks of it this was not the case so there would be no direct contractual right to receive any notice period or pay off on termination.
Next your rights will also depend on your employment status – were you an employee or were you elf employed? This will depend on how you were treated by them rather than how you were labelled so you may wish to Google for the ‘employment status indicator’ and try to determine if you were more likely to be an employee or self employed.
If you were an employee then your only rights would be in relation to your statutory notice period. If you have been employed for more than a month by the employer then you would be entitled to a week’s notice. As you started on 1 June, assuming you were terminated before the 1 July, you would not be entitled to any notice and all you an claim for is the accrued holidays for the period of work.
If you were self employed then there is no legal entitlement to a notice period on termination. However, you can try and argue that you should have been given some notice period as that would be implied in the agreement. What that notice period would be will depend on many factors but due to the short duration of employment I would not expect it to be longer than a week or two.
In neither case would you be entitled to anything more than the notice period as additional termination payments would not apply, regardless of whether you were an employee or self employed.
This is your basic legal position. I have more detailed advice for you in terms of the options you have for taking this further if you were not given any notice period due, which I wish to discuss so please take a second to leave a positive rating for the service so far (by selecting 3, 4 or 5 stars) and I can continue with that and answer any further questions you may have. Don’t worry, there is no extra cost and leaving a rating will not close the question and we can continue this discussion. Thank you