Like every one has suggested with the spray water and just pat orlightly rub with your finger. Seamstresses rip and repeat often without spritzing/spraying

You've been given some good advice regarding the needle holes. However, I am wondering why you wouldn't wash a quilt prior to gifting it. Any particular reason? IMHO a quilt should always be washed prior to gifting for multiple reasons.
To remove dirt and oils from your hands from handling during the construction process.
To ensure that a seam doesn't come apart on the first washing, colors don't run and to just give it a test run in the washer and dryer much as the recipient would do with normal usage. Can you imagine the horror of the giftee thinking they ruined the quilt you made if they weren't expecting the normal crinkling that occurs through shrinkage along the quilting stitches or if a seam popped or colors ran.

I wouldn't dream of gifting a quilt I hadn't already washed. If for no other reason then to ensure the quilt can withstand the rigors of being washed. JMHO

The holes will disappear when wet.

I always wash a quilt after I finish it. Especially for a gift. The person that receives the quilt non washed and when it is washed , the look is different and the person thinks Oh no I messed it up.

I do as tellabella. Just spray it with plain water from and spray bottle. Let it dry and quilt again.

Make a wider seam so that the "holes" are inside the new seam. Your seam will only be 3/8" or 1/2" (only 1/4" wider at most, than before.)

All I wanted to know is how to minimize the holes. I wouldn't dream of lecturing another quilter.

Thanks for the suggestions. Dabbing the area and letting it dry worked. Now I can finish my border.

When it is just a couple of inches, I rub the back of my fingernail across the fabric. For more, I'd go with spraying with water and tossing in a low dryer for a few minutes.

Thanks everyone. Now I can quilt a new border. I used a combination of your suggestions. There was a lot of thread residue, so I picked out threads with my pointy tweezer, rubbed a damp cloth to get other threads, sprayed the area which is (68) linear inches, let it dry, picked any stray threads and sewed a new border.