How can I remove projector light and text cast onto people’s faces in a group photo?

The best option for you is to clone from the other image.

And if done correctly, no one will know that you edited the image.

Open the image in photoshop

Next, open the other image in photoshop as a separate file

Select just the portion of the image that needs to be cloned

Drag that selection into the main image

Cmd or Ctrl T to bring up the transform options

Now, use the warp tool to align the images

Next, create a mask and invert it and paint in white

Repeat this process for all the others – Should only take about 5 minutes per person.

Fortunately for you, they are all available in the good picture.

As for the people with the highlights on the forehead

Make a selection on the NON- Highlighted area,

Then using the Transform Option, flip horizontal

Align it to the side with the highlight

Create a mask and invert it.

Now brush the area with white

I have left the projector light on, but if you want that removed, you will need to make bigger selections and then use Blend-if to get an even tone

Hope this helps

Edit

Had a play and it was little more challenging than at first anticipated.

The guy with the long hair had to be cloned in completely without warp.