Is it safe to remove a mole near my eyebrow by using a mole removal cream? (Photo)

I recommend getting a formal evaluation with a cosmetic dermatologist. This can be removed again with laser, radiowave or shave. See an expert. Best, Dr. Emer

I'm sorry to hear that you have persistent erythema (redness) of the skin following mole removal by laser ablation. Typical intra-dermal naevus or mole is a raised lesion as opposed to a flat freckle.  In my experience moles are best removed using radio-frequency ablation or cauterisation...

It's difficult to tell from your picture. This may be a reaction to the bandaid. I recommend following up with your cosmetic dermatologist. I also recommend Silagen + Bioshield to promote healing. Best, Dr. Emer

It's hard to tell what type of mole it is without seeing it in person. I would recommend going to see a doctor and having it removed if it concerns you. A biopsy will be done to make sure that it is not cancerous. 

This is typical. This can be removed with laser, radiowave or shave. I recommend following up with your cosmetic dermatologist. Best, Dr. Emer

If the mole of the side of your lip is raised, it is possible that it could be shaved off to remove it.  If the mole is flat, then it would need to be excised.  In either case, the resulting scar would normally be less noticeable than the mole.