Can we apply for other companies in current company's laptop?

I don't think they will care unless you are visiting pirated websites and watching pornography on your company laptop. I once accidentally joined an interview with my current company credentials. I was extremely worried but nothing happened. Unless you use the laptop for some illegal purpose, I don't think they will care.

Everything you do using a company laptop can be tracked. So be very mindful when you do anything which is not related to the company.

Bro don't take that risk

It will be pretty stupid doing anything unofficial using your company laptop.

Don't take the risk. Anything can be tracked. What's the problem in using your phone for this?