Shakespeare's texts are full of contractions, as are Dickens's:
Georgiana looked from her wine glass at Mr Lammle and at Mrs Lammle; but mightn't, couldn't, shouldn't, wouldn't, look at Mr Fledgeby.
It seems unlikely they died out in London between the lives of those two writers (both of whom spent the bulk of their writing lives in London). According to Patricia O'Conner and Stewart Kellerman, contractions were sufficiently in use during the 18th century to have purists rail against them. Jonathan Swift ranted about their use in The False Refinements in our Style. So I think you can confidently use contractions in your coming work; it's more a question of choosing the right ones for the period.
Barring cases of extreme abbreviations (where one might use such abbreviations as "t ppl complaind abt t difficulty n reading &c", such as some live internet chat room, or mediaeval manuscripts) then 1st must only be used when first is an actual ordinal; that is it could be replaced by "in position number one" and make the same sense, albeit clumsily:
She was the 1st guest to arrive.
*She 1st greeted her host, then took off her coat.
The first is technically okay, because the first here is indeed an ordinal, positioning her within a series, the second is not because it is an adverb only.
While technically okay, we would generally still not use the abbreviation in the first case, because it's not a context where we would use any abbreviations. Rather, the abbreviations are best restricted to cases where we are going to talk of several ordinals, (i.e. where we would also talk of the 2nd, 3rd, 4th, etc.) or where an ordinal is strongly expected (e.g. in dates). If in doubt, lean toward not using it.
Best Answer
According to Wikipedia, in Latin, ordinals were indicated by superscripts on Roman numerals.
Not all languages currently do this; for example German and most Eastern European languages do not. Most Romance languages do, along with a number of others, including Dutch and English.
In English, Wikipedia says these started out as superscripts: 1st, 2nd, 3rd, 4th, but during the 20th century they migrated to the baseline: 1st, 2nd, 3rd, 4th.
So the practice started during the Roman empire, and probably was continuously used since then in the Romance languages.
I don't know when it was adopted in English. Here is a pamphlet entitled:
So it goes back a long way … I would suspect that you can find these contractions near the beginning of printed matter in English.