The pairing with Parashah Shemot, which opens the book of Exodus with Israel's harsh bondage in Egypt, Moses's birth and flight, and his call at the burning bush to lead the people out, rests on a deliberate contrast rather than a direct narrative parallel: the parashah begins the story of oppression, while the haftarah opens with a promise that this same people, descended from Jacob, will one day take root, blossom and fill the world with fruit.
That contrast gives the haftarah its purpose as an opening companion to the book of bondage: a reader beginning the hardest stretch of the Torah's national story is handed, in the same reading, a prophetic assurance that oppression is not the whole of the story, an assurance the parashah's own narrative will not begin to fulfill for many chapters yet.
The haftarah's closing reference to God who redeemed Abraham concerning the house of Jacob reaches back to the same founding ancestor invoked in several of this account's earlier haftarot, tying the coming Exodus redemption, the deliverance this parashah sets in motion, to the same original promise made to Abraham that has run underneath every haftarah in this cycle so far.
That reach back to Abraham also links this haftarah to the very first haftarah in this account, paired with Parashah Bereshit, both invoking the same founding promise at two very different, widely separated points in the yearly reading cycle.