You would have to do something very bad to blow a tweeter. And chances are you heard it when it happened, if that is what happened. If this is not the case and you are just not getting the sound you are looking for from one speaker, consider troubleshooting in order to determine what else may be wrong. This is always preferable to throwing money at a problem and it is how best to learn about things.
Always start with the simplest stuff.
Like making sure your connections are good. You mentioned that you have bi-wire speaker cables; I would begin there. Be methodical and be sure to power everything down before reconnecting anything.
If you are using the room correction in your receiver that would be another good thing to check. Re-run the setup and listen again.
You can also switch the left and right speakers. If your tweeter is truly not working, it will be immediately apparent. Are the speakers under warranty? Perhaps ML could come to your rescue with a repair or replacement.
If any of these things yield positive results, and you get both speakers working properly, then you can try moving the speakers around. Closer together or farther apart. Toed in or out. Closer to the wall or pulled further out into your room. If you are new at this you will be surprised at how small changes can affect the sound and the overall balance. These are the basics of getting the most out of any system.
Do not spend any more money until you get the basics right.
Then you can consider upgrading to a new DAC or integrated amplifier.
Good luck and may the Force be with you.