The word Torah means instruction and involves 613 commands, commandments, or laws. God's law includes or involves all of these. If you are a man then obeying the commands for women is not for you, for starters. Obey the commandments for men. If you want to you can learn the commandments for women, but you do not need to obey them yourself. If you are married, they are for you in so much or in so far or so much as they are for your wife.
The New Testament Scriptures have 1050 commandments. I do not know how many commands or commandments are found in the rest of the TaNaKh. The TaNaKh is the Torah (instruction), the Nevi'im (prophets), and the Kethuvim (writings). The word Torah can mean Law.
Do you know about the Five Books of Moses, the Law of Moses, the Law, the Mosaic Law, etc...? Some people use the word or term Pentateuch to refer to the first five books of the Bible, or what they call the Old Testament, or the TaNaKh. Torah can mean Law, Instruction, Direction. Beyond the Torah the rest of the TaNaKh has or continues with God's instruction for us.
You are correct about there being 613 laws in the Torah.
I hope that this helps you.
Shalom.
Jacob