Let's take a step back. To fit a new BMS you need a cell-pack positive, a cell-pack negative, a positive charge wire, a negative charge wire and 10 sense wires to tell the BMS the individual cell voltages. Everything else can be chucked. The 10 sense wires have to be arranged in the crrect sequence to connect to the BMS, so you need to know which is B1, B2, B3, .....B10.
Fitting a New BMS will get you a working battery, but there's still two potential problems to do with communication. The controller might not allow power until it's communicated with the battery to confirm that the voltage is correct, and the charger might not charge for the same reason.
First, you need to confirm that your bike will work with a dumb battery. If it does, you can replace the BMS to get going. A charger is about £20.