Options for Muscle Loss Under Eyes?

It is unlikely you have muscle loss underneath the eyelids.  When the eyes become more prominent it is important to be evaluated for possible thyroid conditions.  The fat pads and bags underneath the lower lids are best treated with a transconjunctival approach.  Accutane usually has no effect on the lower eyelid muscles.  

Your posted photo shows what appears to be lack of bone support of the lower eyelids with a visible tear trough and darkening of the lower eyelids from a shadow created by the way the light falls in this photo. There is no visible muscle loss in this photo. From a single one angle view photo one cannot say exactly what your best option is. I suspect you need filler injections, fat grafting, an implant or some combination of these to correct the issue. If you have any allergic issues these need to be addressed first.

Checked to see if you have a negative vector of bone support as described in the referenced webpage.

My response to your question/post does not represent formal medical advice or constitute a doctor patient relationship. You need to consult with i.e. personally see a board certified plastic surgeon in order to receive a formal evaluation and develop a doctor patient relationship.

You don't need a "medical grade skin care program," that is just a way of keeping patients close to surgeons until they break down and have a surgery.  Not that there is anything inherently wrong with skin care but really all you need is a good moisturizer and possibly an under eye concealer.

Your issue is lack of bone projection at the orbital rim which brings out the appearance of the under eye circle.  The best option for a 24 year old is to start with the under eye concealer.  It will help.  However, it is likely that you will benefit from an under eye filler like Restylane for the under eye circle.  With the right volume, the service is likely to last a year or more and is done without surgery as a very comfortable office visit.  It is essential that you see an experienced injector physician.  Generally this will be a physician in the core specialties of plastic surgery, oculoplastic surgery, dermatology, or facial plastic surgery.  Please do not let a nurse do this treatment.  

Regarding fat transfer for this area, please don't get talked into this.  This treatment should be regarded as experimental with far too high a rate of complications.  There can be certain individuals where it can be the recommend approach for various reasons.  However the immediate under eye circle area is very thin and does not hide grafted fat well.