Yes and yes. There are some things that happen that are so extraordinary, they can't be defined as anything else but being a miracle. It's these sort of interventions that remind me that there is a 'source' and a God out there and that some things are no mistake or coincidence.
And sure, miracles can be small... it doesn't have to be "Wow you were cured from cancer? It's a miracle!" but I know when my favorite cat ever was diagnosed with feline leukemia, and was given 2 weeks at the most to live, we nursed her and cared for her and prayed that she would make it to Christmas because she literally loved everything Christmas related- ornaments, wrapping paper, the warm fire. Christmas was 7 months away when she was diagnosed, she died the day after Christmas morning, I kid you not, under the tree.
That to me is a small miracle. No, she wasn't cured, but did we get our wishes and what we wanted? Yes, and that was enough for me.