I'm quite late to this one, so pardon if this reply has basically already been covered by someone else. I simply have no desire to scroll through the surely hateful flak this topic has certainly already yielded.
I love that Rey chose the name Skywalker because I feel Luke and Leia would have been so incredibly proud of their protégée and would have welcomed her into their powerful-yet-troubled family.
The only part of this situation that I'm not 100% behind is how it makes Rey's relationship with Ben Solo creepier. Those two got real weird for honorary cousins/siblings, but at least they weren't biologically related, for fark's sake, Skywalker twins.