Here's my two cents...
The HS Precision Varmint is a nice stock. Consider adding an adjustable cheekpiece. Defense Edge makes one:
Defensive Edge Products
Karsten makes a nice one too:
Kydex Adjustable Cheek Rest, The Original : US Armorment, The Art & Science of Shooting. Shop For Shooting Supplies, Ammunition, Rifle Scopes, Gun Parts & Accessories
Adjustable cheekpiece is important in order to achieve proper eye alignment with scope.
Consider having the action bedded into the stock.
Did the rifle come with an Accu-Trigger? if it did, shoot it with that trigger until you can save up for a Jewell. Two friends of mine have had Rifle Basix triggers and both of them had the triggers fail (they seemed to seize up). One friend sent the trigger to be repaired by Rifle Basix. It failed again. My other buddy threw the trigger away and just went straight to the Jewell. I have Jewells on my tactical/hunters. They are awesome!
Given that you want to shoot targets/tactical to 1000 and hunt to 600, don't change your barrel. 22" barrel will provide you with plenty of velocity to go those distances (going to 24" barrel will only add ~40fps). Just make sure you choose a high BC bullet and push it as fast as you can (think 190Berger VLD with a stout load of H4350). Also, with the 190Hunting VLD you can use it for both hunting and targets.
If you want to rebarrel the rifle, then 'upgrade' the chambering to something like 260Remington. With the 260 you get MUCH better BC bullets AND you can shoot them a lot faster. (My tactical hunter is a 260 My 260 by MCR
Glad you have a 10 round detachable mag. Get another one and two five round mags. Depending on the situation, having 5 and 10 round mags is a good thing.
Vortex 6-24x50 with MOA reticle and MOA adjustment is a good optic and will do everything you want it to do.
Rings and Rail
With a 308 you will definitely need the 20moa base. EGW makes a nice base - good choice.
Rings - I tend to lean towards lighter weight rings, but the ones you have chosen are nice.
Get yourself a Harris bipod. the 6-9" that pivots with notched legs is the one to have to start with.
Make one, buy one, just be sure to have one. Doesn't have to be fancy. Just functional for all the things you want to do. Mine came from Dog-Gone-Good (http://www.dog-gone-good.com/
) it is the "holland field bag" size 2x3x4. Although they show it in camo, they will make them in other colors too (tan, OD, black)
Does that help?