We had copper alloy issues in the Northumbrian kingdom (not the most beautiful of coinages...), but otherwise Colin is right in that we don't see any real copper until James I.
I really love these milled issues. They look so good in hand that they almost look fake...
http://www.ebay.co.uk/itm/Extremely-fine-1st-milled-issue-1562-sixpence-Elizabeth-1st-coin-/141890217073?hash=item210950e471:g:4NYAAOSwvUlWq1cp
Elizabeth I Shilling, looks to be initial mark Escallop making this the Sixth Issue coinage and minted 1584-1586.
Nice find, and not often pierced for secondary use in this period.
I have a Victorian cabinet that I bought from Malcolm Ellis years ago and a Nichols 'Crozier' I got at an auction. They're both fantastic and I combine them with capsules - great way to store them if you've got a large space in a bank vault.
The Agnus Dei penny is exceptionally rare but the imagery itself isn't all too scarce for this period. Here's an image I took, the motif is all the more enchanting in-hand. One example I've drawn comparisons with is the early 11th century Brussels Cross.