Can I use Tret one night and hydroquinone the next?

I am originally from Slovakia and have been living in Australia since I was 10, I’m now 30. My parents did not believe in sunscreen and my Slavic skin was definitely not equipped for this part of the world, to be completely honest it is quite awful.

I have sensitive blemish prone skin with ALOT of pigmentation, post inflammatory pigmentation and some mild acne. I also have Melasma of course…

My dermatologist prescribed me Stieva A 0.025 2 weeks ago and I’ve been using it every 3rd night (sandwich method) and have gotten some peeling.

She also gave me some hydroquinone for the Melasma and said just use it on the nights you don’t use tret. This seems like a lot especially for my sensitive skin right? Or does this work for people?

I’m also struggling with the right sunscreen, chemical ones doesn’t seem to be enough but zinc looks awful, breaks me out badly and I look like a ghost!

Sorry for the long post, I thought I’d better give you guys all the info up front 😅 I can provide pics if needed but I’m honestly embarrassed!