Is the fingerboard on?

As for dents, wet a paper towel, get a clothes iron, place wet towel over dents, and see how much they will steam out. It can surprise you.

I caution you with a thin neck for a different reason. The temptation whey you are making your first necks is to leave it more D shape than V or C. You just can't imagine that you really are going to carve so much of it away. I'm not talking D shape because you prefer that feel, I mean an exaggerated D with a real flat at the back a beefy shoulders. One of my sweetest sounding little L-00 inspired guitars has just such a neck. It is a real disappointment. It's not unplayable, but five years later I wonder what I was thinking when I carved that neck. The guitar would be ten times better if I had done a proper neck carve.
Now, add to that caution about not carving too much and not exposing the truss rod. I can see from your picture that that neck has a wide flat with heavy shoulders. Unless it is a lap steel guitar, I don't think you will like that very much as a player. I would consider that you have a lot of carving yet to do, and you seem worried at this point about surface imperfections.
So, bottom line, don't let an error in neck thickness dictate the carving of a neck. As a player, the neck is what you first notice about a guitar. Make sure the profile is right. If you expose the truss rod, then that neck was never meant to go on a guitar.

So the neck is .62" now without the fingerboard? That's about .89" with the fingerboard. I prefer necks about .82" total at the first fret. That is only moderately thin. You could go thinner, however I suggest you stop at .78-.79" or so if you're new to this. There's a bit of room for shaping yet.

As rlrhett pointed out, it's too D shaped now. The shoulders need to be carved back. (unless you prefer a flat back neck for some reason) The part of the neck over the truss rod slot won't be affected, much. Practice on scrap if you are unsure.

You can always use a compression rod if you are worried.

Are you using templates for your neck shape? Using a series of templates to determine the neck shape whether D, C or V shaped is a good way to have a consistent neck shape and it also takes the guess work out of shaping the neck. If you have a plan a set of templates are easy to make.

Profile guage.

Find a neck you like as a starting point. Using the guage, carve the profile into the first fret area.

Find the profile at the 10th fret and carve that, smoothing into the heel transition.

Carefully join the two sections.

That's how I do it.

Use the profile guage to check for symmetry by turning it back and forth...

Find a neck you like as a starting point. Using the guage, carve the profile into the first fret area.

Find the profile at the 10th fret and carve that, smoothing into the heel transition.

Carefully join the two sections.

That's how I do it.

Use the profile guage to check for symmetry by turning it back and forth...