Congratulations 👍Nice gun! Better ammo generally shoots better. But with that gun, id start with CCI Sv, Aguila Std Velocity ( blue Box ) Blazer#, All 40 grain RN. Alsi CCI Tactical, same as mini mags except bullets a little pointier to feed semi auto better.
Id aluminum tape bed the receiver, little strips of hvac tape on the back end and sides so the action stickes in the stock pretty tight. Id also check to see that the action screw isnt too long and bottoming out and pushing the action up out of the stock.
Since its a carbine, its got a barrel band. a small piece of bicycle innertube under the barrel right there sothathe band is act holding the barrel in the channel might give you a big improvement in accuracy.
Then the trigger, the plate is nice , but you dont have to buy one , just pull yours out and hit the pointy thingy in the oval hole with a dremel until its gone. Your bolt will the be auto release. While the trigger is apart , either put in a drop in kidd trigger assembly, $130, or polish the parts in yours ,until they are slick as snot. Hammer sear disconnector hammer strut. Maybe add a VQ hammer kit. Sometimes they are on sale for $10 on ebay. Remember to put the hammer c clip back in with the open side up.
Since yours is silver , you wont have too much overspray inside the receiver so unless the action is rough no need to polish the inside or the bolt.
Hornady Dry Lube &Cleaner is all you should use on the action and the trigger. Use a bent 243 brush to clean the chamber regularly. They tend to crud up. There you can use what ever solvent you like.
After its back together take it to the range on a windless day .Make sure the scope turrets are at their middle of adjustment, you should be on paper at 50 yards and need only a few clicks to zero. if you are shooting real low and need a bunch of adjustment, you will need a gun smither block to fix barrel droop. Unlikely but possible. If way left or right , and the rings and rail are correct then the barrel is canted , and youll need some help. Also unlikely.
Start your action screw at 15 inch lbs of torque and shoot, then tighten 5 lbs and shoot again until you find the sweet spot.
Have fun, once you get them dialed in, imho, they are most fun gun there is😍