# Can Hooke's law go along with Newton's 3rd law & how is momentum conserved in case of spring?

Let there be a spring in its relaxed state- that is neither compressed nor extended. One end is fixed on the left and other end is free in the right. Now, I stretch the spring by pulling the free-end towards right. As soon as I do it, the spring exerts force ie. the restoring force on me towards left. But, I willn't move on the left but rather expand the spring towards right & it will exert more restoring force acc. to Hooke's law. So, in this spring-me system , is the linear momentum conserved?? If so, how??? And also, is Hooke's law saying about Newton's 3rd law? That is, if I exert force on the spring, the spring exerts restoring force on me; then can I say by Newton's third law,at any instant $$\text{restoring force} = - \text{my applied force}$$ ??? Please help me explaining these two: how the momentum is conserved and whether the relation above is true.