Help needed - choose between two diamonds

[confusedproposer]

Hello all,

I am a diamond newbie and am purchasing a sight-unseen diamond from a jeweler recommended by a friend for my fiance''s engagement ring. I have narrowed it down to two diamonds - the reports are attached. Here are the specs:

1. 1.03ct GIA
SI-1 clarity
E color
Polish Excellent
Symmetry Excellent
Cut Grade Very Good
6.60x6.64x3.91mm
2. 1.01ct GIA
SI-1 clarity
E color
Polish Excellent
Symmetry Excellent
Cut Grade Excellent
6.48x6.53x3.97mm
The first one has bigger measurements, but the second one is a cut grade higher. The price is the same for both ($5,100). Which one do you recommend and why? Is the price good? Also, must all diamonds be laser inscribed? I''m confused and need to make a decision today. Never having purchased a diamond before, I am relying completely on your inputs - Please help! Thanks so much!

 

[confusedproposer]

And here is the second cert