Mosiah 13:11 - 13:15

Mosiah 13:11 And now I read unto you the remainder of the commandments of God, for I perceive that they are not written in your hearts; I perceive that ye have studied and taught iniquity the most part of your lives.

He will now continue his purpose for being before the king by reading the rest of the 10 commandments. He does so because they are not the guide the king or his priests are using to direct their personal behavior. Most of their lives have been spent studying and teaching false principles to the people so they could live according to their own desires.
[By his reading one would assume that he was carrying a copy of at least some part of the brass plates. Were they on paper or some other material that is easy to write on. I doubt he was carrying metal plates. It would be interesting to see what his scriptures consisted of and in what form.]

Mosiah 13:12 And now, ye remember that I said unto you: Thou shalt not make unto thee any graven image, or any likeness of things which are in heaven above, or which are in the earth beneath, or which are in the water under the earth.

He reminds them that he had read the first two commandments just previously to them and reiterates the second one again. Namely that they are to have no graven image of anything that could be look upon as a object to worship.
[Worship is not bowing down to an image. It is service to others that is the form of worship the Lord wants us engaged in. Bowing to a figurine does not serve anyone or make their burdens light nor give the personal development that comes through service. It is a total waste of time. The figurine can neither give the help the worshiper is looking for nor protect them from any outside enemy. The Lord is in control of what happens to us, even if a ignorant soul who does worship idols is unaware that he is being directed by the Lord. He may think that the image brought the blessing he was seeking but it was the Lord that did so. And what fascinates me is that the Lord does not need for the person to know that is was the Lord that blessed him. The Lord seems perfectly contented to let the person continue in his ways until the time is right to reveal to him just where his blessing actually come from. This is the perfect example of love and service. To give blessings and help and not require that the person know where they came from or demand that they thank Him for them. The Lord is certainly the perfect example of service.]

Mosiah 13:13 And again: Thou shalt not bow down thyself unto them, nor serve them; for I the Lord thy God am a jealous God, visiting the iniquities of the fathers upon the children, unto the third and fourth generations of them that hate me;

The effect of worshiping these false gods will trickle down through the generations even down to three or four deep. The Lord wants our total loyalty because He is the only one that can really help us with our mortal problems.
[The Lord by saying He is a jealous God sounds like He is a dictator wants to force us in every move we make. This jealousy is another word for listening and following good advise. A principle reason besides it is good for us, is that our actions affect our children and grandchildren. An inactive parent shows up with inactive children and that goes to the grandchildren until the descendants don’t even know they had ancestors in the Church. There are descendants of Joseph Smith who don’t know that he is their ancestor.]

Mosiah 13:14 And showing mercy unto thousands of them that love me and keep my commandments.

Again not worshiping idols gives the Lord a chance to teach one to love God and be open to His teachings so they can have a good life.
[If you have no religion or knowledge of God then you are on your own. And you will not have the full potential you are capable of achieving. To be great you need a great teacher. That great teacher is our Father in Heaven and He wants to teach us the way to true and lasting happiness. But that will not happen if you do not know of His existence or His commandments.]

Mosiah 13:15 Thou shalt not take the name of the Lord thy God in vain; for the Lord will not hold him guiltless that taketh his name in vain.

(Commandment #3). You will not use God’s name or power incorrectly.
[One should not curse someone by His name. We don’t have that power to start with. That includes using His powers without proper authority. Whatever a person does in the name of the Lord without priesthood authority is for naught.]