Yes, no problem there, those cracks look like they are only superficial.
Cracks in natural forks usually don't compromise stability, because they only go to the core and stop there.
Doing the vise-test with the finished product is always a good idea though.
If you want to get rid of the cracks for aesthetic reasons, there are many options.
They can be filled with glues like epoxy or wood glue and powders like sawdust, chalk, pigments or even crushed gemstones.
My preferred method is putting a drop of thin super glue (Cyanoacrylate or CA for short) into the crack, the cheap kind from the dollar store. Then I sand over the crack with a medium coarse sandpaper like 120 grit, so the dust collects in the wet glue. The glue sets up very quickly that way. After 2 or 3 repetitions most cracks are closed.
Be sure to show the result here when you're finished