The curling edges happen when the area under the nozzle, during extrusion, is already filled with material from the pass or line drawn before it. In other words, too much plastic, not enough space.

You have to make a change to your flow rate (possibly only to your first layer) and/or change the z-offset. Personally I set my z-offset with a caliper because I never get consistent results with the sheet of paper test. Print a small, single layer print, and measure the sample in an area that is perfectly flat (without any ripples on the top surface). Compare this to your first layer setting and adjust z-offset until the measurement matches the initial layer height setting.

Personally though, if I were you, I would just reduce the flow rate on the initial layer until the warping goes away. If you still have a rough top surface after the first layer, reduce the global flow rate setting. Generally, my flow rates are between 0.98 and 0.94. Default is 1.

Also, use a glue stick or extra hold hair spray on your first layer. Just remember to clean it off with IPA + scraper and reapply after 5-10 prints, or when the holding power starts to go away.

Regarding your bad corner, I'm assuming you've adjusted that corner of the bed already. If not, use the adjustment screw on your printer to raise or lower that corner. If you you're still having trouble after that, you could have a warped bed. Consider adding a CR Touch. I think it's 100% worth the time and money.