/ Living Costs and life in Poznan?
You are not very clear about anything in your post but maybe this will help a little.
Rent (small studio flat) aprox 1000zł
Bills (electric, cable tv, internet etc) 200zł
Litre of beer in a pub 8zł
Cheap meal out for two 50zł
Can't really help with food shopping as I don't have a clue if you can cook or what you eat! But I would say for two people absolute minimum would be 300zł per month.
In regards to looking for work I don't know what kind of work you are in but if it is teaching then this is one of the worst times of year to look and also from what I have been told it is getting harder and harder to find teaching work in Poznan. What do you do now maybe if you let me know I might be able to sugest some places you could look.
Your savings may get you through two months at a push but if you have to find somewhere to rent don't forget most places will want a deposit which take a large chunk out of your savings.
In short you will find everything more exspensive in Poznań than in a small town.