Google limitations

When you have a company website serving 3 different industries, does google limit the website by generalizing the content?

2/3 keywords targeted in pretty decent content is not ranking well.

1/3 keyword is on the 1st page of Google.

In other words, does Google decide the website is about subject A and therefor neglects subject B or not?

My next question: Does google penalize you for using Facebook? The connect config takes 260,0 KiB (16%) from loading speed.