That's an odd amount as unless you're in a couple, DWP guidelines are less than £100/week for a person living on their own- but if that's their conclusion then run with it.
What year are you in? Most banks will give you a 2/3K overdraft, if not more in the 2nd/3rd years at University, and the next wave of payments from SFE are incoming.
And by the way, you are legally entitled to SSP even on a zero hours contract in the UK, as long as you've worked for your current employer/agency - starting from the 4th day. 1-3 aren't paid as they are classed as waiting days. Just download or PDF an SC2 form and hand it in, you can self certify for the first 2 weeks but will need a doctor to sign a fit note for you. They can back date it, but some places won't take it if it's over 7 days from the end of you self certification.
Not as bad as it sounds as they'll fill it in, tick a box saying you are not fit for work and the reason why.
Don't let them shaft you.
