If you want to ensure focus on eyes you need to do the following
IMO its distracting if eyes are not in focus for portrait. I see lots of guys buy a fast portrait lens, crank aperture to F1.4 and bang away. Most likely focus point is often nose on head shot and at F1.4 the rest of face will not be sharp. Choosing exact focus point is critical on these large aperatures
PRess the "I" info button
Set focus mode to AF-S ( single servo ) . Although it's most likely in Automatic ( AF-A ) it often will go into continuous if it sees any movement )
- this ensures that once you select focus on eyes, and recompose to frame shot it does not change focus ( so long as you don't re acquire focus by letting go of shutter release and depressing again )
Set focus area to AFSingle point . Most likely you are dynamic so it tries to choose what it thinks focus point should be . Choose focus point with navigation button ( with the arrows in 4 directions )
Just half shutter press with focus point ( most likely you will choose the center one ! ) , then recompose the person / dog and full press shutter. Eyes will always be in focus now
If you want to get creative with shallow depth of field ( lets say F4 or 5.6 or whatever largest aperture your lens can go to ) then put camera in Aperature priority and let the camera determine shutter speed / iso . You want everything in focus ,then a good starting point is F11 for most common distance to subject
Lastly you are somewhat backlit , so to ensure proper exposure of eyes / face , put your camera into Center Weighted or Spot Metering . Again just like focus, you may want to use the AE lock button to hold the exposure once you set it to expose for face / eyes depending on how centered the subject is in the backlight
This way, it does not try to determine correct exposure for the entire scene ( which is why you are a bit underexposed on dog but ok background ) , but rather a specific point
It will obviously overexpose the background but face will be properly exposed. You can always knock down exposure with the exposure compensation button after you take test shot