As a retired General Contractor, tar of any type is not the way to repair a hole in any type of roof. For a shingle roof, you need to remove the shingle tab with the hole in it. The upper part of that shingle will go up and under the two shingles above it, (only part way under the second one). There will be nails or staples through the upper part of the compromised shingle tab, and more in the next row, above. You will see this when you carefully lift the shingle above the damaged one. You may need a flat bar for this.
Using a utility knife, cut the damaged shingle out from under the shingle above it and replace with a new one. The alternative is to replace that entire shingle, which is what I would do, as a professional.
Carefully re-nail the new shingle, as well as the one above it, and for the upper one, install new nails in both the hole from the old nail and a new nail about 1-1/2" laterally from the old one.
After the nailing is done, with NO EXPOSED NAILS, use roof cement, under the shingle tabs. This will secure the shingles to the shingles that were not disturbed and prevent them from wind damage.
Nothing to it.