As above, but greg was correct before the edit, the cells will charge at 0.3C instead of 0.2C, so 50% faster, meaning their longevity will suffer slightly. More info needed on cell type for further review...
Your BMS (battery management system) should be built into the pack and manages the discharge rate and keeps cells balanced. It can probably handle 3A just fine but more info is needed. The folks at Luna Cycle also sell bottle packs similar to what you've described. They can give more info as well. Again, be sure the plug is the same but the link says "Standard 5.5mm plug fits most bottle and dolphin battery packs".