Using the name of Jesus does not in anyway limit your prayer, rather, it enlarges it. Tell me, would you as God’s child desire something, which your Lord would not approve? Would you knowingly ask your Heavenly Father for something out of his will? Would it be in your heart to petition God for a blessing on you or your loved ones that might hinder your Christian life or detract from your testimony?
I am sure your answer to this is an emphatic “no.” Therefore, your every supplication should be in Christ’s name, for Christ’s prayer includes your highest - as well as His highest. He want us to experience “Good Success.”