Newbie with a question

My teen son has been playing a Bueschler True Tone alto sax serial number 105916 that was his great grandfathers and now he wants a new sax. He wants a Yamaha but there’s no way we can afford a $3,000-$4,000 instrument. A couple years ago we spent several hundred dollars repairing his current sax but he is saying that it needs more repairs. My questions are
1. Is it worth it to invest more money in this instrument?
2. If we sell it what is the approximate value?
3. What is a good affordable alto sax for under $1000?
ANY advice is appreciated,  thanks for your time.

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