Thanks for your query.
I read your query and I understand your concerns.
1) The mass you are describing is called fibroid
will evaluate the tubal status. It will not remove the fibroid.
3) 2 cms fibroid may not cause infertility
. But further workup is mandatory if you are palnning conceive.
I hope I answered your query. I will be available for any followup queries you have.
IVF & Infertility Specialist.