Hi Dan,
1) There is the capability of having auto time/date field - Open the .APL in Studio, Open the edit form, double click on the date control and "untick" the aloow null values. This will make the form automatically fill the date. You cannot make it read only as when you press OK it will write to the underlying table (dbf or AXF). Why not hide the control if you don't want someone to edit it?
2) In ArcPad 10 the repeat fields button was implemented. It is on the bottom of the editform and if you press it, the values that you wrote on the form will be rememebered and the next feature that you create will have a populated form ready to go.
In regard to the azimuth, is it that you want to know the direction the photo was taken and populate a field in the table or have it embedded in the image itself?
I hope this a helpful start for you.
Cheers,
Gareth