Yes. As long as you are not otherwise precluded, I.e. Warrants or other non travel exclusions. A misdemeanor drug charge won't prevent your travel.

What type of information comes up when you do a live fingerprint scan

If your case has already been dismissed you have little to worry about. However the wheels of government can work slow. What I mean by that is...

How can I avoid jail time?

You are unlikely to face any jail time, you will likely be facing probation a fine and restitution. What is more important is finding a way to not...

Unfortunately it is possible to get in trouble due to other people lying. Best thing you can do is to get a permanent restraining order, his lies...

How can I reverse the charges and fix my wrong. I can't have my husband go to jail for a year because of my jelousy

First, you should get your own criminal defense attorney because you might get in trouble. If what you are saying is correct, filing a false...

Is there an alternative charge to substitute domestic violence so that my immigration benefits will not be affected?

As long as the case is not a felony, your attorney might be able to talk the DA into a different non-DV charge. For example PC 415, generally...