Lace bite is more common when boots break down - you keep trying to get the skate to fit right, so you start tying more and more tightly, causing the pressure and pain.
More than likely, this is just a break-in issue since the boots are new. The tongue is smooth inside, right? The lining isn't bunching up or wrinkling?
I always need a center-tongue hook to keep the tongue from shifting off my foot. It tends to slide towards the outside ankle, leaving the edge of the tongue pressing into the channel on top of my inside ankle. That irritates a nerve in that channel, causing pain. If you need a tongue hook, a pro shop or shoe repair place can install one.
I second the idea of changing the way you tie your skates and using some cushion to protect the area. The problem with gel sleeves is that they make the boot mold a little wider, so once you start wearing them, you have to keep wearing them or your boot will feel too big/wide.
Make sure to treat the injury so that it heals between sessions. RICE: Rest, Ice, Compression (wrap,) Elevation. Massage really helps, too.
It's easy to forget this step when you're not in the skates, but it really does help a lot.