Account locked - no ID?

Hi everyone,

I just joined this site not having come across it before, but I searched for forums where I could ask about Facebook and this came up.
I'm sure my question will be repetitive - if so, sorry for frustration - but I couldn't really find it.
My account was locked - the only reason I can think of because I was sending messages to different people (who I requested as friends, they are family members) and maybe Facebook thought I was a spammer or something?
I understand this is something they have to deal with.
However, their instructions really didn't help me. I need to include 2 forms of ID - which I simply and honestly do not have.

This link tells me what to do - https://www.facebook.com/help/303144586449165

What interests me is this:
"In most cases, the easiest way to verify your identity is to follow the on-screen steps to enter your mobile phone number and request a code."

I infer from this that there is an alternative to sending in ID, and this is to get a code sent to your mobile, which you could then use to prove you're "real". I am more than happy - but most importantly, able - to do this. Just not sure how?

I would really appreciate some advice. What makes it really frustrating at the moment is that I am getting emails from Facebook with notifications (presumably replies and friendship accepts) but I cannot access them! So these people will feel like I am ignoring them.

If I can send for a mobile code, that's perfect, so... sorry for this longish message but wanted to get all the facts right. If there is anything I've left out please ask, and I'll answer. My knowledge on this sort of things is beginner.

Thanks for reading - your expertise is much appreciated - in advance.
Kind regards
Mr C
Australia