That's a Webcor changer with an old Sonotone 2T/3T cartridge. I have a similar setup and installed an Astatic 89T and am very happy with it - and it doesn't track at 8 grams!
There are Sams for those changers all over eBay, and someone here may have it too. It probably needs all the old grease cleaned out, and perhaps a new idler wheel. The amp will be very easy to refresh. As far as the flocking goes, I can't answer that one - I'd probably salvage a mat from another table.
It has civil defense markings on the dial - maybe it is a '54/'55 model. Those little phonographs can sound quite good