I moved into this house at the end of April and have been trying to figure out what kind of plants are these. They all seem to be either an orange/lime/ or lemon maybe. 2 of them have different types of leaves. We had a hard freeze early this year and I think it impacted them

hard, 2 trees I had to cut down because they were completely dead. Why would those 2 trees grow from the base and not the branches? All of them have thorns but only on certain branches with the different leaf type.