You are asking good questions, but you won't get a good answer until you ask you surgeon. The particulars of your surgery are unknown, so I cannot give you good advice.
In general, Steri-Strips are used to secure the sutures used to close the eyelid incision. These are placed on the forehead between the eye brows and to the outside of the eyes. They can also be used on the lower eyelid to support the lid after surgery. Removal should be performed only under your surgeon's direction, so that the closures remain closed. Normally ointment is not placed on the Steri-Strips, as this may lead to premature loosening.
Give your doctor a call. They will appreciate you taking an active role in your care and your desire to heal quickly.