Whether new or old, all the cells in a series pack should have matched capacities and internal resistances. If they don't then the 'weakest' cell will drop its voltage first, and could become over-discharged before the total pack voltage reaches cutoff.
Even new cells from the same batch have slightly differing capacities, so battery manufacturers may test the cells and 'match' them by capacity. When you mix cells from different packs they could have quite different capacities, and then your pack will continually go out of balance in use.
Older cells tend to have higher resistance and/or lower capacity. Mixing new and old cells increases the likelihood of the pack becoming unbalanced in use. And like a chain the whole pack will only be as strong as its 'weakest link', limiting performance to that of the tiredest cell.
Nicad and NiMH cells need up to 10 charge/discharge cycles to reach full capacity. If you don't do this then the new cells in the pack could have lower capacity and get over-charged and/or over-discharged in use. If damaged the new cells will lose even more capacity until they die.