Can we omit using "would" again if there are several actions in a sentence. Ex. "In the first place upon coming home he would lock himself in his room, [would] grab a book and [would] read it for hours."
Thank you
Yes the subsequent uses of "would" can be omitted in such a case. This means that the sentence says that what he "would do" is a sequence o set of actions, considered as a unit grammatically speaking.
In fact, it is my view that the sentence reads better and more naturally without the repeated use of "would".