Is it possible to access music bought on my apple ID that isn't on my iCloud?

I have had an apple ID since I got an iphone three years ago. I have since then created a new one.

I bought a lot of music on my first apple ID but never backed it up - something I whole heartedly regret! I have forgotten the password to this first apple ID, and cannot access the old email account or remember the security question answers. This is all very annoying, and I understand I only have myself to blame for not backing up the music in the first place.

My first question is: Is it at all possible for me to 1] access this old apple ID and 2] re-download all the music I purchased on it?

This brings me onto my next question - is it possible for me to download the music that I have bought on my current apple ID that I bought when I didn't have an iCloud account?

Many Thanks - Abigail