Lemon Balm Leaf Issue
Lemon Balm has very few pests or diseases. However, they can suffer root rot if overwatered. This may be the cause for your damaged leaves. Regardless of the cause, you'll want to take several steps to prevent further problems. First, remove the damaged leaves and discard them. As a precaution, if you use clippers, wipe them with alcohol before using them on healthy leaves or plants. You may want to put some organic mulch around your plants, making sure not to allow the mulch to lay next to the plant stems. Not only does that keep any soil born organisms from splashing onto the leaves, it keeps the soil temperature even and reduces water needs. Also, water only when the plants need watering. Feel the soil before watering, making sure it's not already wet. Because all plants in the mint family will begin to droop a little when they need water, that's another good indication that it's time to water. If these measures don't improve your mint's condition, you may want to take several damaged leaf samples to a local nursery for a closer inspection to rule out any other disease process.
Kudos to you for growing lemon balm. It's a great addition to any garden!