FYI, elligibility for AA is based on two criteria: supervision and help with bodily functions
Cooking for someone would not fall under either of these crtiera - although helping them with eating would be as a 'bodily function' (as would getting dressed, in and out of bed, the toilet, etc). However, if someone had to be watched because they would attempt to cook for themselves but do so dangerously, eg leaving gas on or not lighting it, burning themselves, etc, this would count - but under supervision.
Help with medication definitely falls under supervision and would count.
Also, unlike Disability Living Allowance, AA has no mobility component. Any references to mobility outside of the home would be disregarded. Mobility inside the home is also ignored, but it might count under supervision if the person is liable to stumble or fall.