These two books are 2 and 3 of the Dragonriders of Pern series. They follow the first book about Pern, Dragonflight.
Dragonquest is a bit heavy on politics and lght on relationships. The issues between the Oldtimers and the Contemporary Dragon riders is mirrored by the the issues with the Older Land holders against the Dragon Riders. Life has changed in 400 turns and society has not remained static. Being accustomed to subservience, the dragon riders who came from the past demand higher percentages of tithe and crave a living that the holders aren't willing to provide. From that portentous start the story builds in intensity.
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Now if I can just locate the Harper Hall 1 and 2, because I already have #3.
Until next time...