What is the meaning of Parliamentarian period and some other questions

What is the meaning of Parliamentarian period and some other questions

The passage below is from The Library: A Fragile History by Andrew Pettegree.

Wood’s library was entirely for his own use: necessarily so, since he allowed no visitors to visit the attic rooms where he worked, slept and kept his books. But the collection was certainly punctiliously curated. Whenever he had a little spare money, a carefully selected collection of pamphlets or notices would go off to the binders. It is only thanks to Wood that we have access to much material that was not otherwise systematically saved, such as published lecture lists,

notifications and ceremonial pronouncements of the University of Oxford. Wood owned 171 almanacs, some of which (as was commonly the case) served as his diary. His keen interest in contemporary politics is reflected in long series of newspapers, from the Parliamentarian period onwards, including a thirty-year run of the London Gazette. The temptation to dispose of these early papers, to make room on his shelves for more current material, or new acquisitions in his collection of history and theology, must have been strong. The cost of extra shelving for the crowded attic must also have been a concern. But like all true collectors, Wood was a hoarder, and the 112-page shelf list he compiled of his library in 1681, divided into categories of his own devising (‘Travels of various men’, ‘military matters’, ‘husbandry & gardening’) meant that it was all at his fingertips: a private encyclopaedia of the world’s wisdom and follies. This rich collection of print, a goldmine of information for politics and daily life in seventeenth-century Oxford, was given by Wood to the Ashmolean, the university museum. There it rested until, in 1860, it entered the hallowed space of the Bodleian.

In this passage I want to ask some questions on three underlined phrase.

First, about ‘from the Parliamentarian period onwards’.

This part seems to tell the time Anthony Woods collection of series of newspapers started. (Am I right?) The answer is ‘from the Parliamentarian period onwards’. (Am I right?) But I don’t know what ‘it’ means. In fact I don’t know every word in this phrase execpt ‘the’. But I have my guess. I think ‘onwards’ means ‘after something and keep that state going continuously’. (Am I right?) ‘Parliamentarian period’ seems to mean the session during which British House of Commons do their job. (Am I right?)

So Wood collected long series of newspapers from the time of ‘Parliamentarian period onwards’.

And one example of that collection of newspapers was ‘a thirty-year run of the London Gazette.’

Here ‘run’ means ‘a continuous or sustained period’. (Am I right?)

Then it seems to suggest that Wood collected every copy of London Gazette after Parliamentarian period for 30 years without missing any copy. (Am I right?)

Just one more check in the same paragraph about ‘husbandry & gardening’.

In dictionary husbandry can mean ‘agriculture’ or ‘housekeeping’. I cannot decide which fits suitable in this context. Right now I think agriculture fits better.

Thanks in advance.