Question Regarding Commercial Use Of Programme

You pay for it, so you are allowed to use it for whatever you fancy. AE is in the traditional sense just a tool, a means to an end. A carpenter wouldn't assume there are extended licensing problems on his favorite hammer. 😉 The only caveat may be using some of the default content such as stock images from demo projects or certain fonts, but that's a whole other discussion.

Mylenium

If you are paying for AE or any CC subscription or just about any program for that matter you can use that software for commercial purposes. 

Now that being said, since you license software and don't in fact own it (at least that is how it works in the US where I am) you are bound by the license agreement. Adobe's doesen't but some academic licenses may prohibit commercial use, and if you have the software under some type of limited license there may be other conditions of use as well.