The pain radiating down your neck, into your left upper limb, can not be caused by the Low Back injury
. You might have sustained an injury to your Cervical Spine
( neck vertebrae ), at the same time, commonly referred to as a " Whiplash
injury". This requires separate evaluation by an MRI
of the Cervical spine, to gauge the nature & extent of the same, if any. Using a Soft Cervical Collar
, avoiding jerky movements & avoiding a pillow at night ( Though a rolled up towel or bedsheet as neck support , may help), along with simple pain killers may help till then.