Yes, I'd hold off going to a chiropractor for now at least, neck area is so delicate.
Keep an eye on your neck, sometimes a neck injury doesn't show up straight away, I had a severe concussion and injuries including whiplash, terrible pain actually started about 5 months afterwards, had the stiffness and pain all the time in my neck but it really flared up later, found out through an MRI it's a herniated disc in my neck.
Yes, make sure you are practicing good posture and gentle stretching (gentle!

but if you find things getting worse go see your Dr right away because there night be something else going on with your neck.
I'd keep going with your normal life and see how it goes.
Feel better...