Hi @minigendo
I can only offer advice on products I’ve used and my personal experience working with Microsoft Surface products in the past.
All old adhesive should be removed completely from the inside of the device. I can say with confidence that you should not use any liquid adhesive removers as they will saturate the inside of the device possibly causing more problems in the future. If the adhesive is simply too much to remove, then a small amount of 99% alcohol is safe to use. The best way to to scrape it off gently using sharp metal and plastic tools.
As for reattaching the screen assembly, I’ve always used Red Tape or TESA red tape. The thickness shouldn’t be an issue as long as you’re not using any kind of foam tape. I can’t speak for how effective Tesa 61395 tape is, but I’d trust iFixit to deliver a quality adhesive. You should avoid the pre-cut kit and get a good sized roll (3-5mm should do) for the long stretches across the device.
Best of luck finishing this repair!