employer query
The employer can let you go and you are not entitled to any severance pay, just the minimum notice period of one week plus any holiday pay you are due.
You are there less than a year, so there is no unfair dismissal angle on this one, and you indicate that the work just is not there any more.
You said that the work was part time, but not temporary, however, it does appear that it was temporary as there is no need for it now and your employer can legitimately employ a 'causal employee' for a fixed duration.