Update: Well, 13 days later (tax day on top of the unlucky number as well......

) and the PX-3 is still working perfectly!!! I'm knocking on every piece of wood in my immediate proximity!!! Aside from reporting this good news, I also wanted to update this thread in the interest of providing others further information that I have since gleaned through a contact with the good Professor Bizzt, who has been very kind to reply to several emails back and forth on the nature of the PX-3 dilemma. First, it would seem that the photo interrupters for some reason are much more likely to fail in the PX-2 than the PX-3......something to do with having different arms but more than that, I am not certain. Next, for those so inclined to try to DIY as I have done, he does NOT sell the photo interrupters individually but will, as I understand him, when he has the time, replace them for you should that be required and I believe all that you would need to send him is the C Sensor board, which is easy to remove and light as a feather so shipping should be very affordable. I found it enlightening that the sensors in the PX-3 were not as likely to fail, which tends to reinforce my experience because all three are working as intended now so I'm guessing that there was something else, perhaps a bad solder joint after 44 years??? Stuff happens, and as much as I would like to know exactly what the cause was for the malfunctions I'm very content at the moment just to have a fabulously behaving and beautiful turntable!
Some takeaways:
1) Should you be having similar issues with your PX-3, and providing you have the necessary mechanical and soldering skills, remove the C Sensor board and the three photointerrupters. Move the one that is not functioning properly to a position that you either don't use as often, in my case the 45rpm (17) button one, and put the one that IS functioning properly in the position that you do use frequently, in my case the 30 button. I actually did a total swap, moving everything to a new position. I'm pretty sure that this is what rejuvenated things back to working condition as that was the final maneuver resulting in the good outcome.
2) Consider the recapping even though it did not restore the functionality of the table. Others who know far more than I have strongly recommended it and I trust their wisdom. If you are considering this, do a search and you will find information posted by
@dlucy giving you a parts list and just follow the directions. You will likely get a bit confused, but just study it and you'll be fine. I also suggest getting on the phone with Mouser, which is where I acquired the new parts, as I was pleasantly surprised to speak with a tech who took all the time needed to go over the list with me, making sure that I was ordering the proper parts and replacements for those that might have been out of stock at the time or no longer available. Their service was super, at least in my experience!
3) Take some time to examine the switch in the rear of the tonearm that has two points and make sure it is opening fully and closing fully as this is what triggers all automated functions on these tables. If that switch somehow remains open, even though it may appear closed, none of the buttons for automated play will work properly. I think that, in part, my issues were somehow related to this switch and after cleaning the points with Deoxit D5 and a bit of fine sandpaper, things suddenly sprung back to life.....although the 30 button was still not working. Previous to this, and after the recap, nothing at all was working!!! It will be well worth your while to insure that this switch is working as intended.
4) Do not assume you have bad photointerrupters out of the gate......they are not always the cause of these kinds of problems and besides, they are no longer made as a drop-in replacement. Yes, you can buy others that can be modified to work, but that is not something I was able to do without further and very detailed instruction. There is a video and some pictures that folks have posted to assist in the process, but nothing that I felt was detailed enough for me to follow......just not that bright or knowledgeable in these matters. Member
@Dr. Ear has evidently devised a method of replacing just the LEDs and receptors using the original casing but I was unable to get further clarification from him on how to do this.....he did mention that it was not all that difficult but I suppose that depends on skill level of the operator! I'd still love to hear back from him on how this is done as I'm the curious sort by nature.
That's a wrap, for now, and along with being a very happy camper I'm hoping the next PX-3 owner who has these kinds of problems will be saved some of the long hours (just look at this thread!!!!) to get things going properly again. Carry on, amigos.....