Multiple non-restrictive modifiers in one sentence

Consider the following sentence:

"I have not sent any further communication, since the email, to your office, so far."

Would both the phrases "since the email" and "to your office" be considered non-restrictive with respect to the main clause, so that there is no significant loss in meaning if they are deleted to interpret the sentence as follows:

"I have not sent any further communication so far."?

I believe this applies for single phrases with commas in a sentence, like:

"I have not sent any further communication, since the email, so far."

I wonder if it would apply in case of multiple phrases with commas as shown above, as well.