I am quilting this top for my grandson for a graduation gift that he will get at Christmas, so he can use it during the last half of his senior year. My question is, should I do the ovals only going up and down the quilt, or should I also do them going across. I am showing the penciled diagram and some of the quilting that I have done.

Thanks for all help and advice. Always good to have so many minds to help me make up mine.

i'd be tempted to do just the one direction. i wouldn't want it to look like it was quilted with flower petals.. JMHO

Actually, to me it would look like a Sashiko design.

See the Stencil SW1002 (first row, last one on the right):
http://www.sewfancy.com/sashiko-stencils2.htm

Except on point.
Very cool.

It might depend on what kind of batting your are using. I always like fluid lines on squared designs. I don't think it would look like flowers.

I would do it both ways. It will make the quilt hold up better in the long run.

One way. Both ways does look like flowers.

That's a coincidence - I'm halfway through the fmq on one, also in blues! I'm sorta "feathering" to soften all the lines too, although would be a bit feminine for a lad.
I would stick with one direction to avoid the "flower" effect. You could add some additional quilting in that direction instead too.
Here's what I'm doing

I think going across too will look great, you can get duvet covers for boys in that sort of pattern so I don't think it will look like flower petals at all.

I like the complete circles and didn't really see flower petals, more a double wedding ring design, but surely he won't see that. If you have plans for some additional quilting between the single lines, go for it, so long as the quilt is stable enough for a boy, even a grown one, you should be okay. You want the quilt to last for a long time, so consider what that would take.

I like both ways.