Well, problems are with notifyBlockOfNeighborChange, notifyBlockChange, setBlock.
So, you should really find out what you exactly mine. Looks like maybe GregTech ore, which probably use this ability to change textures
Second crash log is about problem with String in "getTranslateName". Well, also theres something about updateEntities ( Probably LivingEntity ). Not much more I can say about it but, weird you think its caused with GregTech. But you've got also installed
GalactiCraft an as far as I can say, I has problems to with co-op work with mods like GC + GT + IC2. And with standalone Galacticraft, i has crash in Mars Dungeon. Maybe try to report it also to GC BugTracker.