I had the same issue with my 93 Ford Tempo, it turned out to be a governer gear in the tansmission that would cause it to spike the speedometer. If you get it looked at quick you will save lots of cash.
Try asking your question again - it makes no sense as presently written. If the vehicle won't start - then it won't run. If it won't run how can the speedometer needle be bouncing? (?????)
bouncing
the LACK of LUBE or Graphte on the speed0 cable IF it's not an electric sending unit type. The speedo cable spins inside another cable. Moisture will cause rust after a few years and this will cause the speedo cable to start to drag and release. If you remove the cable from the back of the instrument cluster and squirt in some graphite, this should help with the bouncing.
According to the Big Book of Rock, it has a tempo of 146 BPM
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Tempo.
its a 1994 cavalier the speedometer runs on its own and will not start it starts when the speedometer is not running it has the vs sensor
If it is the same problem that appeared on my '04, it is going to be the instrument cluster. The speedometer is part of it and couldn't be changed independently. Mine started bouncing some when I would first start it up, then start working normal. I ignored that for a while. Then it got to where it would not move at all till I had driven some , then it would start working right. It finally got where it wouldn't move at all or just peg out. I had the cluster changed and that fixed it.
You can never over fill it with gas. It might be possible that the fuel pump in the tank has quit on you. It might be other problems also, electric...........and so on.
Things that start with a B. My big beautiful bouncing bass boat.
Actually , it doesn't have a conventional speedometer cable , it has an electronic speedometer and a vehicle speed sensor ( VSS ) according to my Haynes repair manual
Start with the vehicle speed sensor the feeds the speedometer and odometer.Also look at the Brake/Speedometer problem associated with the Windstar recall for a leaking brake pressure switch