The mind can normally recall only within a given lifetime (and even that is spotty or not consistent). In some special cases, children can recall their past life, if that life was in the current human bhava. Even then, as the child grows, the mind gets “cluttered and covered” by the increasing load of external sense inputs (i.e., the child gets pulled into various attractions and angry situations). So, normally, by the age of 8-10 years, the child would forget all about that past life.
However, when one cultivates jhanas, pancanivarana (that cover the mind) get worn out or at least suppressed, and some people who cultivate jhanas are able to recall past lives. Some can extend that to many past lives, and even births in other realms.
In any case, even though we cannot normally recall past lives, our gati and asavas have been molded by those past lives. But it is not like we have had the current gati/asavas extending too far back. During some births, one’s gati can change drastically, and one’s environment (family/friends) play a key role. This is why we all have been in all apayas, as well as in most of the higher realms too.