Without seeing you in person , it is difficult to say what would be appropriate for you. You should go see a local surgeon for evaluation.
Antibiotic Eye cream
It is not a good idea to use ophthalmic antibiotic creams for long periods of time. This can lead to resistance development, sensitivity or even allergy reactions. If you eyes are sensitive long after surgery then you should go back to your surgeon for further advice.
Ointment after surgery
It is uncommon to get an infection in the eye area after surgery. If you had an infection you would see swelling, redness and it would be tender. You would then need antibiotics by mouth. Irritation is normal after any eyelid surgery. The ointment can help with that. As long as you are not having sensitivity to the ointment, which would usually be itching and redness, you can keep using it. As an alternative, get a lubricating ointment and use that instead.
Antibiotic eye ointment
See an oculoplastic or ophthalmic surgeon here. The irritation could be related to infection and anti bricks are not one size fits all. That this has continued for weeks may be indication that the ointment is tamping down, but not appropriate to resolve, any infection.
Don't have cosmetic eyelid surgery overseas and stop sending patients overseas for surgery.
You were harmed by your surgeon.
What you are describing is chronic corneal exposure from failed lateral canthal surgery. What you are describing is persistent chronic corneal exposure. The ointment is helpful but it is unlikely to need a medicated ointment for this. A bland over the counter ointment serves the same purpose without the irritation that can be caused by the antibiotic in the ointment. Irritation from chronic corneal exposure is not an infection. I suspect that you are still in trouble and will need a definitive lower eyelid reconstruction. I encourage you to be assessed by a fellowship trained oculoplastic surgeon for immediate care. That will buy to time to find a surgery to perform a definitive repair on the eyelids. My free ebook on eyelid surgery discusses how this is approached.
Long term antibiotic after eyelid surgery
Many people with other eyelid issues use long term antibiotic ointment application to the eyelids with no adverse effects. From your description of dryness and irritation, however, you may need just the lubricant effect - if so, then you could switch to an ophthalmic lubricant ointment found over-the-counter usually beside artificial tears. Name brand is not important - they all have petroleum and mineral oil. It might be helpful to avoid preservatives. Your ophthalmologist could help you with treatment and perhaps suggest other ways to improve ocular comfort - such as treating eyelid margin inflammation, punctal plugs to allow the tears to stay on the ocular surface, or prescription medications (Restasis). An Oculoplastic surgeon (background in ophthalmology, fellowship-trained for oculofacial procedures) could also suggest revisions to provide functional and cosmetic improvement in the eyelids.
Is there any harm in using antibiotic ointment for the eyes long term after surgery?
Thank you for your question. It is not good to use ophthalmic antibiotic creams for long periods of time. If you eyes are sensitive long after surgery then you should go back to your surgeon for further advice.