Welcome to HCM.
I know it is quite frustrating when the opinions differ.
, burning sensation, straining eyes with an uneasiness could be due to Dry eyes
secondary to Blepharitis
. And you have been asked to maintain a good lid hygiene with the shampoo , which you have to follow it up for at least a period of 3 weeks. Adding a mild Lubricant eye drops will be more soothing.
But, unless you have associated refractive error
,the Blepharitis alone will not cause a long term intolerable headache. Wait till 3 weeks by using prescribed drugs and wear prescribed glasses if any,then if headache is still persisting, consult your Physician for further evaluation and management as your ocular problems have been treated.
Hope you get relieved from your Headache soon.:)