The Fed is a thankless job that no one can do well that has to get done, but preferably not so badly as has been the case over the years. It was supposed to prevent bank failure lead depressions, yet the it seems that during its first big crises in 1929 it precipitated the crises and drove it harder by deliberately smashing banks. During the 1970s it was supposed to work with the treasury for full employment, and unemployment has never been worse. You give it a job, it botches the job. No banking crises prior to 1912 seems remotely as bad as the criseses after the fed.
As for 2, it is bad enough trying to cash an out of area check. It would create chaos here in Portland as we are so integrated with SW washington. There are lots of cities in the US where the big city is on the border with another state. NYC borders three states, I think. Cincinnatiti would have grief, as would DC, Chicago which is close to both IN and WI. St Louis. for another. Kansas City.
The census has a statistical tool call the SMSA. It is an area of three counties or more where the population in the combined counties is greater than 1,000,000 and the counties are integrated economically. Make a rule of no more than 5 SMSAs. Makes banks big enough to be useful, not too big to fail. From a free market standpoint, I don't like it, but I don't like disasters like TARP either. It seems a place to rise above principle.
Any time any government agency runs any economic enterprise, the enterprise will be run to enrich the politicians in power at the expense of the people of the government.