The judgement will be the same as it is now on earth. If you are accused of murder (taking life without God's permission) , and you plead insanity, that you were sick and therefore did not know what you were doing, and the judge agrees, you will be found innocent. But if you knew what you were doing, and recognized that it was wrong to do it, you will be found guilty. For "He who KNOWS the good he ought to do and does not do it sins." And there will be no need for evidence, for unlike our earthly judges, that God has put in place, when God Himself is our judge, He will know what your true intentions are.
And if your intention is murder of yourself or someone else whom you did not create, and therefore have no right to destroy, then you will be found guilty, and the bible says murderers and the like will not enter heaven, and not to be deceived by thinking that they will. The bible says that SOME of us WERE murderers (this would include Paul) but this is past-tense. You can't go to heaven saying you ARE a murderer and expect to get in, but it is possible to say you WERE a murderer, but changed and forgiven by Christ.
Moses was once depressed, and ASKED God to take him from this world, that he didn't want to live any longer. But he did not say he would take himself from this world because he just can't take the stress of living anymore. It is not for us to decide who should live and who should die- for we did not create a life and therefore have no right to take a life.
Now God put in place police, judges, and armies, and granted them the authority to take human life in certain circumstances- but in this case the authority to do so can be traced back to God. But if a off duty police officer decides to take the life of someone he's personally angry at- he had no permission from God to do so in that situation, and is therefore guilty of murder.
Can murder be forgiven? There is absolutely no sin that the power of Christ's blood cannot wash away (except grieving the Holy Spirit, Christ's blood is for those who want to be holy, not for those who want to be evil). But those who LIVE in sin are not covered by Christ's blood. Christ's blood is for those who want to obey God and are trying to stop sinning- not for those who are actively, presently, and purposely practicing evils- such as murder- which suicide is.