I have oil leaking from around my vehicle's oil plug.
The most likely causes of this issue would be a faulty drain plug gasket or a loose drain plug. I would recommend having a qualified technician, such as one from YourMechanic, come to inspect your vehicle to diagnose the oil leak. If the drain plug is loose, simply have the technician tighten it up to specification with a torque wrench. If the drain plug gasket is bad, have it replaced with the oil and filter. If the drain plug threads or the threads in the hole it threads into are stripped out, the drain plug and/or oil pan will also require replacement to fix the problem correctly.