He can get whatever visitation the court orders. If he doesn't like the current order, he can discuss his options with his lawyer. The best way to depart from the current order is by agreement with the other parent.
He and his lawyer had their opportunity to make their case in court. The judge gets to decide issues of witness credibility. If he doesn't like the judge's ruling, he can talk to his lawye rabout an appeal. Similarly, if he doesn't like the way the judge divided the parties debts and assets, he can talk to his lawyer about an appeal.
If he is unemployed and can't find a job, he can discuss his options with his lawyer. If he wants to argue that to the court to try to get child support reduced or suspended, he had best be keeping a very good record of the jobs he's applied for, where he's interviewed, etc.
I don't know what you're trying to get at in terms of apartment deposits. He can discuss that issue with his lawyer, who presumably has the background information you didn't provide.
If he chose not to raise the issue of medication and resultant mood swings at the time of the custody hearing, despite his awareness of those issues, he's going to have difficulty later claiming that they're relevant (let alone decisive) to custody.

