I would not using white pine for any portion of the bow...it poses several problems to bowmaking, even when used a core wood. Most people assume that a core is always isolated. Yet, most cores will do some work, either in tension or compression, depending upon where the neutral plane lies.
If this is your first bow, I would recommend you forgo a tri-lam deflex/reflex is favor of a design that allows for a larger margin of error. Perhaps a hickory-backed hard maple pyramid bow, for example. If this is not your first bow and you're confident in your tillering skills, then replace the white pine core with another lamination of hard maple. Also, it's generally more successful to tiller a deflex/reflex bow by starting at the tips and working your way toward the fades.
Regarding glue...I prefer URAC 185, as it has some gap filling properties and can be cured at either room temp or in a hot box. I've used Titebond III, but you have to have perfectly mated surfaces for it to perform correctly.
Hope that helps some!