First things first: recce the location. Find out what the available light is like, what the decoration is like and what the room is like in terms of size and acoustics.
The A1E isn't great in low-light, but if it can resolve enough natural light to expose the subject properly, your job is to shape it. Some of this will be positioning the subject, some will be forcibly controlling it with any/all of lights, reflectors, silks and flags. I'd go for a simple three-point set-up. If it's strong enough, use the main light coming into the room as the key, and perhaps a reflector as a fill. Top that off with a light source coming from behind the subject to separate them from the background. If the room is not really bright you'll have to use some artificial light. Dedo lights are good, and they even have a new daylight-balanced range, which would be great if you just want to augment natural light (they're new, however, and might not be easy to source for rental). Dedo the special fresnels they are famous for, but also softbox lights, which would be good for a key or fill if needed. Alternatively, anything by Kino Flo will give a soft light for key or fill, in daylight or tungsten (depending on the tubes).
You'll also want to control the colours of objects and fabrics at the venue. Nothing too bright (including white), and get rid of contrast-y diagonal, cross-hatch, etc. patterns.
Sound is a biggy, and hiring a Sound Recordist with their own equipment is sound advice. If you're unable to, rent the best mics and pre-amps (the A1E's are pretty noisy!) you can. Lavs give a sound that is not to everybody's taste and may or may not suit the subject's voice. If the venue is a big room with little by way of reflection, consider renting a Sennheiser 416. It's a quality mic and available at pretty much any rental house. If the room is smaller you'd be better with a super-cardioid. Most rental places have an SQN mixer of some sort, which by reputation (I haven't used one) have good pre-amps. Sound Devices also do some good ones, but they're not as common as SQN. The model you get will depend on how many people you are recording in any one go. Whether you bother to rent a flash/other recorder or just use the HDV audio should be down to how far your money stretches and much time you have in post (to match audio to video). If you're just recording dialogue I'd put it pretty low on my list.
The camera-work will depend on the interview pace and style (which will depend on its intended format and destination). Have the interviewer a little to the side of the camera so the subject neither looks awkward, staring down the barrel of the lens, nor bog-eyed. Prior to the interview commencing and in any breaks get some close-ups of hands, band-related paraphernalia, etc. for cutaways. If it's a short-and-snappy pop thing you'll need more of these, and you might want to do stuff like rack focus on them (which for the A1E means being as far into telephoto territory as possible). There'll probably also be call for some general camera movement; but for the love of God please do this from a tripod, rather than going handheld and making everyone seasick.
Also, if memory serves me correctly, the A1E has a feature to prevent it clipping so easily. It'd be worth using if you have the time to grade in post.
