Hi karenh
New Style ESA is a Contribution Based benefit and is not means tested with the exception of pension income which can reduce the amount that you receive.
The Income Related benefit that goes with NS ESA is Universal Credit.
Click on the link below, it will tell you how to claim NS ESA,
www.gov.uk/how-to-claim-new-style-esa you are not automatically placed in the support group, you have to pass a Work Capability Assessment;
www.benefitsandwork.co.uk/help-for-claimants/esa1 Gary