I am wondering what the meaning is of جَسَرَ (jasara), and if it would be a name that could be used for a business or person? Does it have positive or negative connotations for a native Arabic speaker?
جَسَرَ is a verb that relates to bravery and courage: to have the courage (to do something). It's not a common word, though.
PS: Seeing that this is posted in the Levantine Arabic section, I'd like to point out that this is a Standard Arabic word. I cannot speak for Levantine Arabic.