the last few days of your period you might not even be on your period. it is very possible that the last few days you are just draining left over blood. yes you can get pregnant on almost any day or your period, it is not safe to have un protected sex anytime on your period. you are most fertile around your period anyways.
no dear, you cant get pregnant on the last day of your period
its unlikely but possible, or so i hear. it depends on your cycle. most women dont have a mature egg until 14 days after the first day of their period. so the sperm would have to be viable for 9 days if you have a 5 day period. sperm can live from 3-7 days in ewcm/not a hostile environment. you are on your period and that is a hostile environment for sperm. its unlikely but not unheard of. if you are worried take a pregnancy test when you expect your next period.
if you are trying to conceive i would suggest doing a bit of research online about how your cycle works and what times to try.