2 British Hammered | Cnut And Short Cross Replicas

I can't say either way for sure as I'm not as familiar with earlier hammered pennies. They don't look right to me but that might be just that they were cleaned to death - they look very shiny and polished.

In the left piece I can't make anything out either in the portrait or the legend. The reverse looks weird - a trefoil (or three merged pellets) in one quarter, the other three are empty. ?

The right piece, which is off-center. The obverse legend looks like it might be Henricus Rex, which is consistent with four pellets (or rather jacks) in the reverse quarters. This means it could be Henry II, Richard I, John, or Henry III (the short cross).
The reverse legend reads (what I can see) G******* ON LUND. So it would be done in London. They had two moneyors in London whose name starts with G during H2 reign, GILEBERT and GODARD. One during R1 reign - GOLDWINE. None for John, and one for H3 - GIFFREI.
I don't believe it's Giffrei - coins of his "class" look different. I don't think it's Godard - name is too short. Goldwine also hammered different "class". Gilbert is a possibility. That is if the coin(s) is genuine.

Both are indeed replicas. The "three merged pellets" svslav is seeing inside the cross on the left hand coin is the same symbol stamped at the bottom of the obverse of the other coin. Not quite sure what it is but it looks like an "&" symbol. I's presumably the countermark of the company that made the replicas.

As for what they are supposed to be replicas of, the one on the left is I think meant to be a penny of Anglo-Saxon king Cnut. Svslav has IDed the second.