Is the my at the beginning necessary, or does it add emphasis to "we" in this sentence?
It's not necessary, but in such a short sentence I think it's quite useful, also if you were to omit it, I guess only the "Jemy tam" version would sound natural.
"We eat there" should be accepted.
audio sounds like "my tam jejmy"
I agree. Disabled the audio exercises.
In the listening exercise jemy sounds like jeny. I listened several times because I thought jemy made more sense but it was so clearly an ;n' that I eventually put jeny though I did not know what that meant.
I Agree that it's something like "jeny" indeed. I disabled the audio exercises.
Co za dykcja!
Could it be 'We are eating here?'
No, because here would be tu or tutaj.