Default [Q] Navigate *absolutely* anonymous using portable apps

I recently got assigned a laptop from the company I work for. While at home, I want to be able to use it for personal browsing, but my company has strict rules against this.

Specifically they dont allow:
-Use of other browser than IE
-Use of social networks, netflix, spotify, etc
-Installing any software on the laptop.

Since Im not required work from home, I think what I do in my free time shouldnt be bound to these rules.So Im wondering how I can bypass all these limitations.

can I use a usb with portable chrome on it and an extension with a fake user agent extension to bypass the first and third limitations?

Also, as long as I use my home wifi to navigate to my social networks, netflix, spotify, etc, theres no way for them to know I have visit these right? Since im not using their network, none of this activity will be logged?

I just wanted to share these ideas to make sure I am not making any wrong assumptions that could get me caught.

Thanks!