After 360 lipo, is stage 2 faja necessary? Are there other options?

I would ask your plastic surgeon about garments and the duration of wear, because each plastic surgeon will have a different protocol.   The patients who tend to have healing issues with larger volume liposuction procedures tend to be the ones who do not wear the compression garments at all, wear them very inconsistently, or do not wear them snugly covering all areas of liposuction. 
Our office provides our lipo patients with an adjustable compression garment.  The  patients like the support it provides to the back and to the abdomen.  The only complaint I have heard is related to the "itchiness" of the fabric which can be remedied by wearing a soft t-shirt under the garment.

you need to talk to your phsyician, it seems like you werent giving the right after care instructions.
If you are unhappy with your results please speak to your physician and ensure he was a full body VASER HD liposuction physciain wtih expensive experience in body shaping and not just traditional fat reduction.  At this point you should be using compression, RF treatments like venus legacy / exilis ultra / inmode forma or contoura and lymphatic massage to get you through healing.   We always add shock wave therapy such as cellutone, z wave, and eclipse evive to help prvent scar tissue formation and ensure an even and smooth result. It will take 6-12 months to see the final outcome.   If you are unhappy you can get a revision procedure by an expert in VASER HD lipo.  Best, Dr. Emer.

In the first 2 to 4 weeks after surgery, the garment prevents fluid pockets (seromas) and excessive bruising. After that, garments minimize the swelling so that you will see your final results faster.That said, the best garment is one you will wear consistently. It should be tight enough to be compressive but loose enough not to leave dents in your skin. As long as those criteria are met, the specific choice of Spanx vs surgical garment vs faja is not as important.