is it OK to say running out of budget?

After listening to an audio, one of my students wrote the following:

These guys are really disturbed by running out of budget.

Is it Ok to leave it as it is? What about - are disturbed by going over budget?

Another sticking point is - One of the people offered to involve distributors, but immediately got a rejection.

Is it OK to use a rejection in this context?

And finally - They did not decide anything.
Maybe - They did not reach any decision or agree on anything.

Thank you very much in advance.

All of the original sentences seem serviceable to me in the right context.