Hullo kno3 ...firstly
1. what size rivet shank diameter?....
2. are these to be structural or cosmetic?
3. minature modelling rivets come with one preformed head & a parallel rivet shank of X length
4. the required length of the rivets is critical and is simply a function of the total thickness of the plates being joined/riveted + the protruding rivet shank to accurately form the additional rivet head
In many older riveting applications....boilers & hull frames...a caulking medium was also used between the two surfaces/plates being riveted...
"asbestos twine & white lead paste" 
come to mind ...however these are now both banned substances

.......although some may say they have never been bettered with modern technology & synthetics

Hand riveting small sizes ... [say 1 or 2 mm diameter size shank] can simply be achieved with an anvil [held in a fixed vice] with a female dimple in the top anvil face to accept the pre formed rivet head, then use a rivet punch....just like a small center punch......but instead of a point...the punch tool also has a female dimple that with repeated gentle tapping will form the opposite end rivet head
I am sure you are aware conventional riveting can sometimes comprise a series or matrix of patterns or rows.......so your anvil may need that same matrix or row sets of female dimples etc .......
Many model steam train builders use traditional riveted construction for their boiler work.........find a club & ask the questions

....Derek