It's been a rough couple of months for Dr. Conrad Murray.

Not only is he likely responsible, at least in part, for the death of the world's most popular entertainer, but he's being sued for back child support! Rough!

Regarding his ongoing child support case, the doc says he and his new lawyer are determined to make all non Michael Jackson-related problems go away.

Problems he can make go away, that is.

Murray only has four more days to report to a Las Vegas court before a judge will issue a bench warrant for his arrest for missing a child support hearing.

Conrad was a no-show October 7.

His new lawyer, Chris Aaron, says that MJ's personal dcotor is desperately trying to work out a "temporary resolution" with the District Attorney's office.

Aaron says Murray has a perfectly good explanation for going MIA, saying, "It was not intentional missing his court date - it was simply an oversight. Dr. Murray has every intention of resolving and taking care of his personal responsibilities."

Murray is accused of stiffing baby mama Nenita Malibiran out of $13,311.47 in payments for their 10-year-old son. That will get you in serious trouble.

But not as much as when you fuel Michael Jackson with Propofol, a powerful anesthesia which the L.A. County Coroner says killed the music icon.

A criminal case could be imminent.