Drip edge standing seam

We just had our metal roof replaced. Our existing gutters were fine, no issues, no leaks. They were left off for 6 weeks. I could discuss why they were left off 6 weeks, but I am scheduled to have a new wig fitting after resultant hair loss and am rushed. Our roof is just under 2/12 pitch, KY, entire roof covered in ice water shield and then standing seam. The initial trim was "cut short" and did not cover the existing staining, holes, etc on the eave and we had to request they replace it with trim that matched previous trim. We paid for eave trim and drip edge. Within a week of roof "completion" we had issues with one of the new hvac units that sit beneath one of the gutters. The hvac company advised water was dripping, freezing, thawing, etc. We insisted this could not be true, then watched the next rain fall and joila, water dripping from the gutter, actually appears to be coming from between the gutter and the roof edge. A check found that another gutter had the same issue in one spot. Roofing company contacted and is sending out their gutter guy.

If the drip edge is installed properly wouldn't it prevent this issue? I do have pics from the ground after the standing seam was placed and before the gutters were reattached. They said it could be a leak in the gutter (from the ground this is not what it looks like) and a question for clarification said they might need to install flashing between the eave and the gutter. Does this make sense? My prior understanding was the drip edge would extend into the gutter and thus no gap between the roof and gutter.

My husband and I are elderly and can not physically inspect the roof ourselves. In fact, the way the property sits and the build of the house, you can not see anything but the edges.

Thank you!

Thank you Todd. It seems this would have been obvious when they rehung the gutters. Maybe we should look for an expert to give us some feedback on the completed roof and see if there are other obvious issues. Is this common?