I would definitely advise against making your own chemical peels! How can you possibly know what strength they are (could be too strong or not strong enough at all) and based on the ingredients you mentioned, I'm not surprised it didn't do anything!
A dermatologist is the best choice for chemical peels. The only drawback is that, like any professional medical treatment, the cost isn't in everyones budget. If you are going to use an at home chemical peel, at the very least you will need to buy one that is made by a reputable company (not a concoction you make in your kitchen
). I know you can purchase them online, but from my experience years ago buying a glycolic peel on eBay, that is not the place to get it.
Also it's important to note that the best chemical peels aren't necessarily the strongest. It's better to start with a lower strength and go with something stronger, if needed. You don't want to use something too strong because chemical burns are possible.
p.s. When I use my 17% glycolic mask, it actually makes my acne worse after! So keep that in mind - sometimes the irritation and skin shedding can trigger new acne.