Those online "translators" are worthless. They're bad enough for the Romance languages, but when it comes to Latin, they're impossible! You can render those phrases as follows:
"From the cross comes salvation" = De cruce venit salus
"Family first" = Primo familia
"Faith and family" = Fides et familia
this is what i got when i asked lol wish i hadnt bothered i have enough problems with english thanks