Good morning Josh,
Thank you for your post.
I think based on the specification of Adobe Premier Pro and for other audio editing suites a quad core I5 would be worth looking at, perhaps something like this: http://www.novatech.co.uk/pc/range/novatechblacknti184.html
Alternatively if you wanted to look into 4K editing at a later date or you are looking to do multiple large renders at a good resolution you may find an I7 based machine would be more beneficial, an example can be found here: http://www.novatech.co.uk/pc/range/novatechblacknti158.html
You can also upgrade and downgrade components across the two machines appropriately to better cater for your needs in certain aspects of the specification if that would be of help.
In regards to monitor did you have a sizing in mind, typically I would recommend a 24 inch screen but I know this is personal preference.
Have a good new year!
Alex, Telesales Advisor