Most Christians do believe that Jesus changed those laws. But Jesus himself said:
For truly, I say to you, till heaven and earth pass away, not a jot or tittle will pass from the law until all is accomplished. (Matthew 5:18)
How do you understand this?
As a Jew, I don't believe that the covenant of Sinai has been superceded. From my perspective, then, all of those commandments are still in effect.
Now you mentioned "Love God...and Love your neighbor as Yourself." These are not innovations. Rather, these commandments are found right there in the Torah.
and you shall love the LORD your God with all your heart, and with all your soul, and with all your might. (Deuteronomy 6:5)
you shall love your neighbor as yourself (Leviticus 19:18)