I was a runaway to my employer before. But I was only 1month with them. They were not able to give me a visa. Now I was married and my husband works in dubai. Was it possible for him to give me a visa? Am I blacklisted or not? How will we know if he can give me visa?

When he applies for your visa, it will be either accepted or denied, that way you can tell. If the company you were working for, was not legal to hire you, it is doubtful they reported it. But, application process is the only way. Often if you use a immigration and visa service, it may be easier.