Pregnant 13 weeks, igg and igm rubella come out positive, igg 101(+), igm 1.3(+), retest after 3 weeks, result the same, is it safe to continue?

Rubella: The presence of igm antibodies suggests, but does not prove, that you have had infection in the "recent" past, but the absence of a rising titer in 3 wks also suggests that the infection was not immediately prior to the first testing. Whether or not you choose to continue your pregnancy is a personal decision, but doubt that these values necessarily predict a negative outcome. Good luck.

Yes: It appears that if the igg titer is considered positive, you have protective level against rubella. The stable igm titers showed that you don't have an active infection.