So I picked up a little 13" Sony KV-13TR27 at goodwill a few months ago. Its a great little set, had one when I was a kid so there's a nostalgia for me. However when the TV is turned off and back on at a later time, it always goes back to channel 2. Is there a memory battery or maybe bad caps I should look for to remedy this issue? The set I had back in '91 never had this problem!

There is probably a .5F or maybe even a 1F "Super Cap" for memory retention, at least that is the way it is with VCR's, they are normally 5 or 12v and are larger green and flat electrolytics.