Concerning advice, set limits with him around homework and chores. One option you may want to consider is to use what's called the Premack Principle. According to the Premack Principle, a high probability behavior can reinforce a low probability behavior. Thus, making video game playing contingent upon homework completion can be an effective strategy. Initially, he will rebel.
Temper tantrums persist in children because they work.
Your son will give up this behavior when it no longer works. Consequently, your persistence is a wonderful opportunity for your son to learn new more socially appropriate behavior. Concerning your son's lying about homework, I have found several strategies useful. The DRC can take the form of a checklist where the teacher places a check mark in a category corresponding to behavior you are interested. Whether or not your son has homework, time each evening should be devoted to academic pursuits.