Hello, incase your looking for lubricant my husband and I use KY or Queen-V ( organic aloe based ). Both can be purchased at your local Wal-Mart stores.
Are you looking for assistance with lubricant for sex or are you wanting to know what the cuts are and the source of the burning? It sounds like there may be some medical issue causing both situations- I'd highly recommend getting to the doctor for a check up and discussing the issue with them openly to see if maybe there is a hormone balance issue for your wife, and what is causing the burning sensation for you as well- it could be related, but it's possible you may have something like a fungus or any other number of things that are causing your issue.