The situation with the kids is actor-availability driven. Graham Phillips (Zach) goes to an out-of-state school. Makenzie Vega (Grace) goes to college in New York City.
Gary Cole hasn't appeared in 2016. IMDB doesn't even mention The Good Wife in his biography, doesn't seem to be very up-to-date.
Not all people who drink a lot are alcoholics, and not all alcoholics drink a lot. Alicia drinks wine at home because she was a political wife for 20 years. At work, she drinks whatever the person she is drinking with has. Even the tequila was a gift from Ruth, and she is still working on that bottle.
Diane does have several large feminist clients. Grace was able to recruit them when Diane took the pro-gun case. And she isn't looking for an all-woman firm, she stated it this episode. She wants women named partners.
Alicia and Peter will not be getting a divorce, because Hillary and Bill have not gotten one.
A longer passage doesn't need to be in quotes, it can be set off with wider margins and different spacing. And nobody said anything about whether or not Grace cited it, the program just flagged the quotation for being used.
As far as the bar, it is somewhere they don't usually go. That is why Diane picked it, so they wouldn't be recognized or run into other attorneys or clients. And yes, with as crowded as it was, Lucca could be waiting in line to get the chips. Or she saw them snuggling so is taking her time.