I guess you are looking for Trading View. It has all the options you are looking for. I have no idea if any of the exchanges are offering charts where you can draw as well. Moreover, some of the portfolio app as well have different kinda charts like RSI, MA etc but you can't draw chart there.
On Tradingview, I can't open up multiple charts on one screen with the free version.
Also, they don't offer Depth Charts which I was also looking for.
JH