You still have not said whether you are employed and are off work sick. If that is the case then - as already stated - you get statutory sick pay. It is up to your employer to pay it.
If you do not have a job then you may be able to get ESA (as well as DLA - you can have both). However, from what you have said you cannot get the means tested version of ESA because your partner earns too much and you will only be able to get the contribution based version if you have worked and paid national insurance contributions in the relevant years. DWP should be able to tell you whether you have done so.
As already said, you may be able to get working tax credit (& child tax credit if you have children), depending on your partner's earnings. You may also be able to get some housing benefit if you are renting, and some help with council tax.
If you can't follow all this through yourself visit your local CAB for a benefit check and advice.