Charging Li-ion with BMS but no balancer connector
The problem of unbalanced charging, which easily causes cell damage and may cause a cell to burst, is exacerbated by the number of cells in series.  I.e. the number before the &quot;S&quot;.
In your case you have FIVE cells in series which is virtually impossible to charge without a balancer.  So there is nothing to prevent one or more of the cells from over/under charging which will eventually cause a problem with your battery.
Do NOT use a lead-acid charger on any Li-based cell!  The charging voltages and characteristics are completely different and at best it will not work and at worst it will cause a cell to burst.