Firstly, all short cross pennies have the name HENRICVS on the obverse even though they cover the reigns of Henry II, Richard, John and Henry III. The coins are divided into eight classes using a number of distinguishing factors and thereby into date and king order.
Short cross pennies are my main field of interest so I'll have a go:
The first reverse reads AN.ON.NO
That and the style of the portrait means it can only be Iohan (moneyer), Norwich (Mint), so Class 5, circa 1206-7, King John. I'm not sure of the sub-class, but the obverse letters (EX together and type of X) would indicate 5b1 or 5b3) as possiblilies.The full reverse legend would be +IOHAN.ON.NOR
The second is a bit more difficult, but I think it reads ERD:ON:C (at first I thought it was ERN, but that doesn't make sense).
That would make the moneyer and mint Roberd, Canterbury. The colons either side of ON mean that it is almost certainly class 4a* under King Richard. The full reverse legend would be +ROBERD:ON:CAN
The third is much more difficult. The reverse legend is OR+ and that's about all I can read, so you have the last two letters of the mint.
That would indicate Norwich or Northampton mints. The obverse portrait indicates an early type, so class 1,2 or 3, which rules out Norwich. So I'd say it's Northampton, which also rules out class 2. I think that the mint signature of NOR limits the possible moneyers to Reinald, Walter, Willelm, Ravl or Roberd. I think the first letter of the moneyer could be a W or R, which won't help.
The forth is long cross and not really my field of interest, although I do have a few in my collection.