You can be quite sure that both of your radios were made in or before 1963, because of the Conelrad icons on the dials at 640 and 1240 kHz (kc when these sets were new). Conelrad was an emergency broadcast network that was started in 1953. Many vintage radios had the CD icons on the AM radio dials well into the 1970s, even though Conelrad was replaced by the Emergency Broadcast System in 1964 or thereabouts. I remember television stations in Cleveland still running EBS tests with the old Conelrad logo as late as the seventies, complete with the warning tone, the interruptions of the audio and video carriers, and so forth; in fact, one such test, in 1963, just about scared me out of my wits--I'll never forget it. I was seven years old at the time, and was watching some show on our 1955 Crosley Super "V" 21" TV. The program broke for a commercial or station break, then suddenly I saw this big Conelrad symbol on the screen. I ran down the long hall, screaming, from the living room in our house to the back bedroom; I was sure the Russians were going to blow us all off the map any second!
The weather instruments below the dial on your Stromberg-Carlson radio are indeed unique. I had never seen any radio myself with such instrumentation built in until I saw this one. I cannot help thinking, however, that it must have been an annoyance to have to reset the barometer every time the radio was moved (even from one room to another), let alone from inside to outside the house or vice versa. My best guess is that most people who had these radios never even bothered calibrating the barometer; in fact, most probably didn't pay much attention to it or the other gauges anyway.