Lovely bird.

The eye contact is fine. I can see some cobwebs on the top right hand corner. Which software are you using to convert the images? Which tripod?

If the bird is perched at one place, then I may try using the mirror lock up as well. Not easy if the bird moves, but helps in giving good sharpness if the bird is stationary.

Increasing the ISO will also help in giving you a faster shutter speed and better sharpness.

Cheers,
Sabyasachi