The problems aren't a deal breaker, veneer is readily available, you've already found most parts beiekn are repopped.
The lack of selection could be a bad wire not energizing the selection pins, or 50 yrs of gunk gumming up the works ie selection pins, until you can actually check it out, it's difficult to trouble shoot.
The Wurlitzer group onmn Yahoo is bout the friendliest help you're going to find on the internet. I still read the postings at The Jukebox-Archives, and alt.collecting.juke-boxes, The jukebox list can members can be brutal to a newbie, Alt.collecting isn't as popular as it was once was, but all three are resourses to use.
i've also talked to Denny at victory Glass for many a suggestion, don't be afraid to ask the parts shops for help.
jukebox- list archives :
http://webreports.netlojix.com/pipermail/jukebox-list/Alt.Collecting.Jukeboxes:
http://groups.google.com/group/alt.collecting.juke-boxes/topics?hl=en