If I'm reading your post correctly, you were advised by the SWA officer that you had an entitlement to 16 euro per week. If this is correct, then you were not refused - you had an entitlement to MIS, albeit for a small amount.
Because you had an entitlement, the officer may not have told you about the right of appeal - appeals usually (though not always) follow a refusal where a person making an application is told that they have no entitlement.
You can make an appeal of the entitlement if you wish - as Bronte said, ask for advice with MABS or Citizens Information.