If the battery did not have a
BMS to protect the weaker cells, there is a real possibility of the new cells damaging the older cells as they are more likely to become exhausted far quicker the new ones. In extreme cases it can even result in the weaker old cells being charged with a reverse polarity by the available power still being supplied from the good cells.
Without a
BMS, the weaker cells could also be overcharged during the charging process as their voltages will probably rise far quicker than the new cells.
As long as your cells are protected with a
BMS it should ensure that the older cells are not overcharged during charging, or excessively discharged during use.
Even with several new cells, your battery capacity will still only be as good as the individual capacity of the worst of the old cells.
A chain
(battery) is a made up of many individual links
(cells) and it can only ever be as strong as it's weakest link.
Alan