My advice on all wood laminate bows:
First, since wood takes set, unlike fiberglass, you need to start with at least an inch or so of reflex to end with tips in line with the back. It looks like you have a bit more deflex than refglex and I think you will end up with alot of string follow ... not that it won't shoot but you'd get better performance with a tad of reflex.
Second, I think hickory is a great backing, shouldn;t be anything wrong with oak for a core wood really ... There are probably better core woods, but I think the differences are almost purely academic and I doubt someone could tell if you blindfolded them and had them shoot it.
Red oak, is not particularly strong in compression. You didn't mention the length and width, but it looks around 64-66" long and maybe 1.5-1.75" wide. You also didn;t mention your draw length or the riser length. Loos like about 12" of riser length from tip of fade to tip of fade. So for a 66" bow, that would leave 54" of total working limb, and 27" working per limb. I think thats probably cutting it close. I think you're likely to end up with more set than you'd like, and possibly compression fractures depending on the draw weight and draw length.
For me, with a 25" draw and 40# weight, it'd probably be fine, but 50#+ and 28", I think that oak is going to be crying for help.
Give us some more specs and we can start talkign details.
In general though I might consider tillering the bow to say, 10-15lbs light of where I wanted to be and then add a parallel belly lam of osage or ipe .... or even hickory is stronger than oak in compression but osage or ipe is probably the way to go.
I don't mean to be harsh, just throwing all my ideas out there.
I do really liek the profile. I think the bow looks great ... just want to help you make it shoot great too. Good luck.