1) no...quote tweets are non conversational...99% of the time they're "THIS!" or a call for followers to pile on someone...neither of which are what CoSo is about...instead of QT, simply reply and/or boost
2) yes, clicking your handle anywhere it appears takes you to your profile
@AmerLiberal point not mentioned is that you can make the main menu appear by holding G and S together. You can also make those columns into a different order and can pin hashtags, if it suits you. click three lines in upper left corner and scroll down if necessary o see pin, unpin control.
@AmerLiberal Not an expert, but I think I'm right saying that 1) nope, and 2) you can click on your own name anywhere (like this post) and see your own feed in a column with an "Edit profile" button at the top.
Also, if that screen seems just a bit much you can try "Ostrich mode". It's in the settings.
@AmerLiberal 1: No.
2: click on your name and your profile shows up to the far right of the columns.
@AmerLiberal 1. boost is retweet, but people engage in that less here, I think. More interaction. view your profile, click your name, then scroll right.