I'm in my third week and I was considering giving up (just until a more convenient time) too because the flaking and dryness were so awful I didn't feel like I could be seen in public. Because of active acne/scars I never feel comfortable going without makeup, and the flakes were making my makeup look cakey and terrible. Even with the jojoba oil in my moisturizer I was still having very bad flaking/dryness.
Then a couple of days ago I tried mixing a pea size amount of aquaphor into my moisturizer in addition to the jojoba oil (I do this 15-20 mins after putting on the BP) and it has been a MIRACLE. Since I have tried this I have had NO flaking. I really recommend you try this. My skin has continued to clear up every day so it doesn't seem like the aquaphor is messing with the BP. I also wear makeup over this without any issues.
As for makeup, I definitely recommend you try Revlon Colorstay liquid foundation. I know you are young and a lot of people will tell you that liquid foundation is for more mature skin, but I started in college (I'm 24) and I think if you don't use too much it actually looks way more natural than powder foundation. Liquid makeup gives you more of a glow, while powder can make you look dry and ashy. Plus the sunscreen in it will be great for your skin long-term. Again, the key is DO NOT overdo it. You don't want to look like you are wearing a ton of makeup, you want to look like you have naturally clear skin!
You can get the foundation at CVS/Walgreens and its fairly cheap. Get the dry/normal skin version because the oily/combination skin version will be too drying while you are on the regimen. Use no more than a nickel size amount all over your face to get a natural look (wait for your moisturizer to sink in a bit before you put it on and then blend the foundation very well). Make sure you blend it into your neck so you don't have any weird lines. I also use the revlon colorstay pressed powder (this is lighter than powder foundation), just a very thin layer to set the foundation in place. I find I don't usually even need concealer with this, I just dab a little extra foundation on the problem spots. I've tried a lot of products and if used sparingly this is the most natural and even toned look you can get. Make sure you pick a shade that matches your skin tone as well as possible (they have tons of options), and when in doubt go slightly lighter as opposed to darker. CVS and walgreens usually accept returns if something turns out to be the wrong shade
Don't worry about the foundation breaking you out. I have been using it for years and have gone very long periods of time with clear skin while using it. My acne is related to hormones. Granted, everyone's skin is different so you will have to see how it works for you. But in general, finding makeup that won't break you out is not impossible, just do some trial and error.
As for bronzer, I personally don't like using it cause I think it looks unnatural/makes skin look dirty. I use a blush by NARS, but usually only for going out at night cause I don't think it looks that natural for day time.
And finally, for makeup remover just use jojoba oil. It is the only thing that definitely won't cause breakouts. I just wet my face, spread some jojoba oil all over my face to loosen the makeup and then use a good cleanser to wash it off. Works perfectly to get everything off without being too drying.
PS. In general I recommend the website makeupalley.com to look at makeup/beauty/hair product reviews before you buy stuff. I spent so many years just trying random stuff or being swayed by marketing campaigns and pretty packaging and then finally realized the best way to find good products is to see how thousands of other people have rated them! Click on product reviews and pick a category and then sort by the number of reviews. Anything with over 500 reviews and over a 3.8 rating is usually a good bet. (Even dan's BP is on there and has great reviews, haha!)